F.G.M.T. (Hans) Cuypers

Research output

Content available in repository 1987 1992 1996 1997 1999 2009 2012 2023

• 59 Article
• 20 Conference contribution
• 7 Report
• 7 Chapter
• 15 More
  • 6 Book review
  • 4 Other contribution
  • 3 Software
  • 2 Book

Content available in repository

Content available in repository

Search results

• 2023

  A geometric characterization of the symplectic Lie algebra

  Cuypers, H. & Fleischmann, Y., 2023, In: Innovations in Incidence Geometry. 20, 2-3, p. 223-245 23 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  • Lie Algebra 100%
  • Extremal 100%
  • Subalgebra 25%

• Characterizations of symplectic polar spaces

  Cardinali, I., Cuypers, H., Giuzzi, L. (Corresponding author) & Pasini, A., 1 May 2023, In: Advances in Geometry. 23, 2, p. 281-293 12 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File

  • Polar Space 100%
  • Projective 33%
  3 Citations (Scopus)

  36 Downloads (Pure)
• 2021

  Extremal elements in Lie algebras, buildings and structurable algebras

  Cuypers, H. (Corresponding author) & Meulewaeter, J., 15 Aug 2021, In: Journal of Algebra. 580, p. 1-42 42 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  • Lie Algebra 100%
  • Extremal 100%
  • Extremal Point 60%
  • Nonassociative Algebra 20%
  • Simple Finite Dimensional Lie Algebra 20%
  4 Citations (Scopus)

• Line graphs of Multi-Graphs and the forbidden graph $E_6$

  Cuypers, H., 18 May 2021, In: arXiv. 2021, 15 p., 2105.08618.

  Research output: Contribution to journal › Article › Academic

  Open Access

  File

  • Line Graph 100%
  • Edge 50%
  34 Downloads (Pure)

• Quasi-Clifford algebras, Quadratic forms over $\mathbb{F}_2$, and Lie Algebras

  Cuypers, H., 18 May 2021, In: arXiv. 2021, 22 p., 2105.08637.

  Research output: Contribution to journal › Article › Academic

  Open Access

  File

  • Lie Algebra 100%
  • Quadratic Form 100%
  • Clifford Algebra 100%
  46 Downloads (Pure)

• Whitney's Theorem for Line Graphs of Multi-Graphs

  Cuypers, H., 18 May 2021, In: arXiv. 2021, 7 p., 2105.08610.

  Research output: Contribution to journal › Article › Academic

  Open Access

  File
  391 Downloads (Pure)
• 2018

  A geometric characterization of the classical Lie algebras

  Cuypers, H. & Fleischmann, Y., 15 May 2018, In: Journal of Algebra. 502, p. 1-23 23 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  • Lie Algebra 100%
  • Extremal 50%
  • Root Element 16%
  4 Citations (Scopus)

  5 Downloads (Pure)
• 2017

  A geometric characterization of the classical Lie algebras

  Cuypers, H. & Fleischmann, Y., 7 Jul 2017, In: arXiv. 25 p., 1707.02084.

  Research output: Contribution to journal › Article › Academic

  Open Access

  File

  • Lie Algebra 100%
  • Extremal 100%
  • Dimensional Subspace 28%
  • Simple Finite 14%
  • Root Element 14%
  138 Downloads (Pure)

• A geometric characterization of the symplectic Lie algebra

  Cuypers, H. & Fleischmann, Y., 7 Jul 2017, In: arXiv. 2017, 28 p., 1707.02095.

  Research output: Contribution to journal › Article › Academic

  Open Access

  File

  • Lie Algebra 100%
  • Extremal 100%
  • Simple Lie Algebra 20%
  • Lie Product 20%
  • Nonzero Element 20%
  62 Downloads (Pure)

• On some subgroups of linear groups over $\mathbb{F}_2$ generated by elements of order $3$

  Cuypers, H., 7 Jul 2017, In: arXiv. 2017, 21 p., 1707.02097.

  Research output: Contribution to journal › Article › Academic

  Open Access

  File

  • Linear Group 100%
  • Vector Space 50%
  • Conjugacy Class 50%
  • Commutator 50%
  62 Downloads (Pure)

• The geometry of hyperbolic lines in polar spaces

  Cuypers, H., 7 Jul 2017, In: arXiv. 2017, 24 p., 1707.02099.

  Research output: Contribution to journal › Article › Academic

  Open Access

  File

  • Polar Space 100%
  • Lie Algebra 33%
  • Linear Space 33%
  • Set Point 33%
  63 Downloads (Pure)
• 2015

  Recovering the Lie algebra from its extremal geometry

  Cuypers, H., Roberts, K. & Shpectorov, S., 1 Nov 2015, In: Journal of Algebra. 441, November 2015, p. 196-215 20 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  • Lie Algebra 100%
  • Extremal 100%
  • Simple Lie Algebra 33%
  • Projective Geometry 33%
  • Irreducibles 33%
  4 Citations (Scopus)

  1 Downloads (Pure)
• 2014

  Embeddings of cotriangular spaces

  Cuypers, H. & Panhuis, in 't, J. C. H. W., 2014, Groups of Exceptional Type, Coxeter Groups and Related Geometries. Narasimha Sastry, N. S. (ed.). New Delhi: Springer, p. 135-145 (Springer Proceedings in Mathematics & Statistics; vol. 82).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

  • Irreducibles 100%
  • Affine Plane 66%
  • Collinear 66%
  • Intersecting Line 66%
  • Root System 66%
• 2013

  Formative assessment and learning analytics

  Tempelaar, D. T., Heck, A. J. P., Cuypers, H., Kooij, van der, H. & Vrie, van de, E. M., 2013, Proceedings of the Third International Conference on Learning Analytics and Knowledge (LAK'13, Leuven, Belgium, April 8-12, 2013). New York NY: Association for Computing Machinery, Inc, p. 205-209

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  • Learning Analytics 100%
  • Learning Process 50%
  • Theoretical Framework 25%
  • Extracted Data 25%
  • Analytics Infrastructure 25%
  52 Citations (Scopus)

• Interactive mathematical videos

  Cuypers, H. & Knopper, J. W., 2013, 8th Workshop on Mathematical User Interfaces (MathUI'13, Bath, UK, July 9-10, 2013)). Kohlhase, A. & Libbrecht, P. (eds.). CEUR-WS.org, p. 1-7 (CEUR Workshop Proceedings; vol. 1010).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  • Education Issue 100%
  2 Downloads (Pure)
• 2012

  Aansluitproblemen vo-wo

  Kooij, van der, H., Heck, A., Gastel, van, L. J., Tempelaar, D. T. & Cuypers, H., 2012, In: Nieuw Archief voor Wiskunde. 5/13, 1, p. 37-42

  Research output: Contribution to journal › Article › Professional

  2 Downloads (Pure)

• Boekbespreking

  Cuypers, H., 2012, In: Nieuwe Wiskrant. 31, p. 43-44

  Research output: Contribution to journal › Book review › Professional

  5 Downloads (Pure)

• Book review: Teaching Mathematics Online: Emerging Technologies and Methodologies

  Cuypers, H., 2012, In: Nieuw Archief voor Wiskunde. 5/13, p. 68-68

  Research output: Contribution to journal › Book review › Professional

  • Book Reviews 100%
  • Teaching Mathematics 100%
  1 Downloads (Pure)

• Lie algebras, 2-groups and cotriangular spaces

  Brouwer, A. E., Cohen, A. M., Cuypers, H., Hall, J. I. & Postma, E. J., 2012, In: Advances in Geometry. 12, 1, p. 1-17

  Research output: Contribution to journal › Article › Academic › peer-review

  • Lie Algebra 100%
  • Linear Space 66%
  • Oriented Line 33%
  2 Downloads (Pure)

• Lie algebras and 3-transpositions

  Cuypers, H., Horn, M. A. S., Panhuis, in 't, J. C. H. W. & Shpectorov, S. V., 2012, In: Journal of Algebra. 368, p. 21-39

  Research output: Contribution to journal › Article › Academic › peer-review

  • Lie Algebra 100%
  • Transposition 100%
  • Simple Group 50%
  • Conjugacy Class 50%
  • Simple Lie Algebra 50%
  4 Citations (Scopus)

• The role of digital, formative testing in e-learning for mathematics : a case study in the Netherlands

  Tempelaar, D. T., Kuperus, B., Cuypers, H., Kooij, van der, H., Vrie, van de, E. M. & Heck, A., 2012, In: Revista de Universidad y Sociedad del Conocimiento. 9, 1, p. 284-305

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File

  • e-Learning 100%
  • Case Study 100%
  • Mathematics 100%
  • Mathematics Education 50%
  • Formative Assessment 50%
  8 Citations (Scopus)

  179 Downloads (Pure)
• 2011

  Effectiviteit van facultatief aansluitonderwijs wiskunde in de transitie van voortgezet naar hoger onderwijs

  Tempelaar, D. T., Rienties, B., Kaper, W., Giesbers, B., Gastel, van, L. J., Vrie, van de, E. M., Kooij, van der, H. & Cuypers, H., 2011, In: Pedagogische Studiën. 88, p. 231-248

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  File
  2 Citations (Scopus)

  412 Downloads (Pure)

• Lie algebras and 3-transpositions

  Cuypers, H., Horn, M. A. S., Panhuis, in 't, J. C. H. W. & Shpectorov, S. V., 2011, s.n. 23 p. (arXiv.org [math.GR]; vol. 1104.0536)

  Research output: Book/Report › Report › Academic

  • Lie Algebra 100%
  • Transposition 100%
  • Simple Group 50%
  • Conjugacy Class 50%
  • Simple Lie Algebra 50%

• Mathematics bridging education using an online, adaptive e-tutorial : preparing international students for higher education

  Tempelaar, D. T., Rienties, B., Kaper, W., Giesbers, B., Schim van der Loeff, S., Gastel, van, L. J., Vrie, van de, E. M., Kooij, van der, H. & Cuypers, H., 2011, Teaching mathematics online : emergent technologies and methodologies. Juan, A. A., Huertas, M. A., Trenholm, S. & Steegmann, C. (eds.). IGI Global, p. 167-186

  Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

  • Mathematics 100%
  • Foreign Students 100%
  • Secondary Schools 100%
  • Causality Analysis 100%
  • Group Selection 100%
  5 Citations (Scopus)

  2 Downloads (Pure)
• 2010

  Computer-based feedback in linear algebra: Effects on transfer performance and motivation

  Corbalan, G., Cuypers, H. & Paas, F., 2010, In: Computers and Education. 55, 2, p. 692-703

  Research output: Contribution to journal › Article › Academic › peer-review

  • Mathematical Problem 100%
  • Immediate Feedback 100%
  • Final Solution 100%
  • Linear Algebra 100%
  • Student Perception 40%
  44 Citations (Scopus)

• Interactive geometry inside MathDox

  Cuypers, H., Hendriks, M. & Knopper, J. W., 2010, E-Proceedings of the Interoperable Interactive Geometry Conference (I2Geo 2010, Hluboká nad Vltavou, Czech Republic, July 2-3, 2010). p. 1-6

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  • Computer Algebra System 100%
  • Data Type 100%
  • Computer Software 100%
  • Geometric Object 100%
  • Mathematical Software 25%

• Mathematical context in interactive documents

  Cohen, A. M., Cuypers, H. & Verrijzer, R., 2010, In: Mathematics in Computer Science. 3, 3, p. 331-347

  Research output: Contribution to journal › Article › Academic › peer-review

  • Formal Description 100%
  • Personal Data 100%
  • Mathematical Context 100%
  4 Citations (Scopus)

  1 Downloads (Pure)
• 2009

  Het leren van lineaire algebra: effecten van feedback

  Corbalan, G., Cuypers, H. & Paas, F., 2009, In: Tijdschrift voor Didactiek der B-Wetenschappen. 26, 1-2, p. 21-35

  Research output: Contribution to journal › Article › Academic › peer-review

  • Feedback 100%
  2 Downloads (Pure)

• MathDox editor

  Brouwer, M., Cuypers, H. & Knopper, J. W., 2009, Proceedings of the 5th Mathematical User-Interfaces Workshop (MathUI'09, Grand Bend ON, Canada, July 6, 2009; co-located with MKM 2009). p. 1-8

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  • Computation 100%
  • Service 100%

• MESS: the MathDox Exercise System

  Cuypers, H., Knopper, J. W. & Sterk, H. J. M., 2009, e-Proceedings of the 6th JEM Workshop (Aachen, Germany, August 21, 2009; co-located with ICWL 2009). p. 1-12

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  • Internet 100%
  • Learning Management System 100%
  • Open Source System 100%
  4 Downloads (Pure)

• One-point extensions of generalized hexagons and octagons

  Cuypers, H., De Wispelaere, A. & Maldeghem, van, H., 2009, In: Discrete Mathematics. 309, 2, p. 341-353

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  • Hexagon 100%
  • Octagon 100%
  • Nonexistence 25%
  1 Downloads (Pure)

• Opposition in triality

  Cohen, A. M., Cuypers, H. & Gramlich, R., 2009, In: Journal of Group Theory. 12, 4, p. 491-510 4 p.

  Research output: Contribution to journal › Article › Academic › peer-review

  • Parabolic 100%
  • Transitive Group 100%
  • Automorphism 100%
  • Skew lines 100%
  1 Citation (Scopus)

• Use the Web to close the mathematics gap

  Gastel, van, L. J., Cuypers, H., Kooij, van der, H., Tempelaar, D. T. & Vrie, van de, E. M., 2009, e-Proceedings of the 6th JEM Workshop (Aachen, Germany, August 21, 2009; co-located with ICWL 2009). p. 1-8

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  • Educational Innovations 100%
  • Good Practice 100%
  • Algebraic Skill 100%
  • Mathematics 100%
  • Secondary Education 66%
• 2008

  Intelligente feedback in e-learning

  Cuypers, H., Corbalan, G., Heeren, B., Jansen, F. W., Jeuring, J., Knopper, J.-W., Lodder, J., van der Meiden, R. & Pasman, W., 2008, In: TINFON : Tijdschrift voor INFormatica-ONderwijs. 2008, 4, p. 80-86

  Research output: Contribution to journal › Article › Professional

  1 Downloads (Pure)

• MathDox : a system for interactive mathematics

  Cohen, A. M., Cuypers, H., Knopper, J. W., Spanbroek, M. & Verrijzer, R., 2008, Proceedings ED-MEDIA 2008 (20th Annual World Conference on Educational Multimedia, Hypermedia and Telecommunications, Vienna, Austria, June 30-July 4, 2008). Luca, J. & Weippl, E. R. (eds.). Chesapeake VA: Association for the Advancement of Computing in Education, p. 5177-5182

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  • Mathematics 100%
  3 Downloads (Pure)

• Portal and repository for sharing mathematical learning objects

  Zanden, van der, A. H. W. & Cuypers, H., 2008, Proceedings ED-MEDIA 2008 (20th Annual World Conference on Educational Multimedia, Hypermedia and Telecommunications, Vienna, Austria, June 30-July 4, 2008). Luca, J. & Weippl, E. R. (eds.). Chesapeake VA: Association for the Advancement of Computing in Education, p. 553-561

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  • Working Environment 100%
  • Learning Materials 100%
  • Learning Resource 100%
  • Learning Objects 100%
  • Education Institution 100%
  1 Downloads (Pure)
• 2007

  The geometry of secants in embedded polar spaces

  Cuypers, H., 2007, In: European Journal of Combinatorics. 28, 5, p. 1455-1472

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  • Secant 100%
  • Polar Space 100%
  • Projective Space 33%
  • Noncollinear Point 33%
  • Set Point 33%
  2 Citations (Scopus)
• 2006

  Interactive learning and mathematical calculus

  Cohen, A. M., Cuypers, H., Jibetean, D. & Spanbroek, M., 2006, Mathematical Knowledge Management (Fourth International Conference, MKM 2005, Bremen, Germany, July 15-17, 2005, Revised selected papers). Kohlhase, M. (ed.). Berlin: Springer, p. 330-345 (Lecture Notes in Computer Science; vol. 3863).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
  5 Citations (Scopus)

• MathDox : mathematical documents on the web

  Cohen, A. M., Cuypers, H. & Reinaldo Barreiro, E., 2006, OMDoc : An Open Markup Format for Mathematical Documents [version 1.2]. Kohlhase, M. (ed.). Berlin: Springer, p. 262-265 (Lecture Notes in Computer Science; vol. 4180).

  Research output: Chapter in Book/Report/Conference proceeding › Chapter › Academic

  • Software Development Tool 100%
  • Markup Language 100%
  • Dynamic Context 100%
  3 Downloads (Pure)

• One-point extensions of generalized hexagons and octagons

  Cuypers, H., De Wispelaere, A. & Maldeghem, van, H., 2006, Proceedings Combinatorics 2006 (Isola d'Ischia, Italy, June 25-July 1, 2006). Lunardon, G., Mazzocca, F., Melone, N. & Olanda, D. (eds.). p. 43-50 (Electronic Notes in Discrete Mathematics; vol. 26(1)).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  • Hexagon 100%
  • Octagon 100%
  • Nonexistence 33%
  2 Downloads (Pure)

• The geometry of k-transvection groups

  Cuypers, H., 2006, In: Journal of Algebra. 300, 2, p. 455-471

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access

  • Transvection 100%
  • Linear Space 33%
  • Abelian Subgroup 16%
  • Conjugacy Class 16%
  • Commutative Field 16%
  6 Citations (Scopus)

• WExEd : WebALT exercise editor for multilingual mathematical exercises

  Cohen, A. M., Cuypers, H., Poels, K. J. P. M., Spanbroek, M. & Verrijzer, R., 2006, Proceedings of the First WebALT Conference and Exhibition (WebALT2006, Eindhoven, The Netherlands, January 5-6, 2006), Electronic Library of Mathematics.

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

  • Spanish 100%
  • Italian 100%
  • Swedish 100%
  • Finnish 100%
  • Computer Software 100%
• 2005

  Affine distance-transitive graphs and classical groups

  Bon, van, J. T. M., Cohen, A. M. & Cuypers, F. G. M. T., 2005, In: Journal of Combinatorial Theory, Series A. 110, 2, p. 291-335

  Research output: Contribution to journal › Article › Academic › peer-review

  Open Access
  1 Citation (Scopus)

• A note on the tight spherical 7-design in $R^23$ and the 5-design in $R^7$

  Cuypers, F. G. M. T., 2005, In: Designs, Codes and Cryptography. 34, 2-3, p. 333-337

  Research output: Contribution to journal › Article › Academic › peer-review
  4 Citations (Scopus)

• Lie algebras and cotriangular spaces

  Cuypers, F. G. M. T., 2005, In: Bulletin of the Belgian Mathematical Society : Simon Stevin. 12, 2, p. 209-221

  Research output: Contribution to journal › Article › Academic › peer-review

  • Lie Algebra 100%
  • Linear Space 33%
  • Hyperplane 33%
  3 Citations (Scopus)

  1 Downloads (Pure)

• Local recognition of non-incident point-hyperplane graphs

  Cohen, A. M., Cuypers, F. G. M. T. & Gramlich, R., 2005, In: Combinatorica. 25, 3, p. 271-296 19 p.

  Research output: Contribution to journal › Article › Academic › peer-review
  5 Citations (Scopus)
• 2004

  Extended near hexagons and line systems

  Cuypers, F. G. M. T., 2004, In: Advances in Geometry. 4, 2, p. 181-214

  Research output: Contribution to journal › Article › Academic › peer-review

  • Hexagon 100%
  • Perpendicularity 25%
  5 Citations (Scopus)

• Near hexagons and triality

  Cuypers, F. G. M. T. & Steinbach, A., 2004, In: Beiträge zur Algebra und Geometrie = Contributions to Algebra and Geometry. 45, 2, p. 569-580

  Research output: Contribution to journal › Article › Academic › peer-review

  • Hexagon 100%
  • Polar Space 33%
• 2003

  Book review: Octonions, Jordan algebras and exceptional groups

  Cuypers, F. G. M. T., 2003, In: Nieuw Archief voor Wiskunde. 5/4, p. 80-80

  Research output: Contribution to journal › Book review › Professional

• Interactive mathematical documents on the Web

  Cohen, A. M., Cuypers, F. G. M. T., Reinaldo Barreiro, E. & Sterk, H. J. M., 2003, Algebra, geometry, and software systems. Joswig, M. & Takayama, N. (eds.). Berlin: Springer, p. 289-306

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

  2 Downloads (Pure)