Lie algebras, 2-groups and cotriangular spaces

A.E. Brouwer; A.M. Cohen; H. Cuypers; J.I. Hall; E.J. Postma

doi:10.1515/ADVGEOM.2011.047

Lie algebras, 2-groups and cotriangular spaces

A.E. Brouwer, A.M. Cohen, H. Cuypers, J.I. Hall, E.J. Postma

Discrete Algebra and Geometry

Onderzoeksoutput: Bijdrage aan tijdschrift › Tijdschriftartikel › Academic › peer review

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We describe the construction of a Lie algebra from a partial linear space with oriented lines of size 3, generalizing a construction by Kaplansky. We determine all suitable partial linear spaces and the resulting Lie algebras.

Originele taal-2	Engels
Pagina's (van-tot)	1-17
Tijdschrift	Advances in Geometry
Volume	12
Nummer van het tijdschrift	1
DOI's	https://doi.org/10.1515/ADVGEOM.2011.047
Status	Gepubliceerd - 2012

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10.1515/ADVGEOM.2011.047

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@article{36edf969b00540ddb416f42184f026a8,

title = "Lie algebras, 2-groups and cotriangular spaces",

abstract = "We describe the construction of a Lie algebra from a partial linear space with oriented lines of size 3, generalizing a construction by Kaplansky. We determine all suitable partial linear spaces and the resulting Lie algebras.",

author = "A.E. Brouwer and A.M. Cohen and H. Cuypers and J.I. Hall and E.J. Postma",

year = "2012",

doi = "10.1515/ADVGEOM.2011.047",

language = "English",

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journal = "Advances in Geometry",

issn = "1615-715X",

publisher = "Walter de Gruyter GmbH",

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AU - Brouwer, A.E.

AU - Cohen, A.M.

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AU - Hall, J.I.

AU - Postma, E.J.

PY - 2012

Y1 - 2012

N2 - We describe the construction of a Lie algebra from a partial linear space with oriented lines of size 3, generalizing a construction by Kaplansky. We determine all suitable partial linear spaces and the resulting Lie algebras.

AB - We describe the construction of a Lie algebra from a partial linear space with oriented lines of size 3, generalizing a construction by Kaplansky. We determine all suitable partial linear spaces and the resulting Lie algebras.

U2 - 10.1515/ADVGEOM.2011.047

DO - 10.1515/ADVGEOM.2011.047

M3 - Article

SN - 1615-715X

VL - 12

SP - 1

EP - 17

JO - Advances in Geometry

JF - Advances in Geometry

IS - 1

ER -

Lie algebras, 2-groups and cotriangular spaces

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