Computing in groups of Lie type

A.M. Cohen; S.H. Murray; D.E. Taylor

doi:10.1090/S0025-5718-03-01582-5

Computing in groups of Lie type

A.M. Cohen, S.H. Murray, D.E. Taylor

Discrete Algebra and Geometry

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

33 Citaten (Scopus)

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We describe two methods for computing with the elements of untwisted groups of Lie type: using the Steinberg presentation and using highest weight representations. We give algorithms for element arithmetic within the Steinberg presentation. Conversion between this presentation and linear representations is achieved using a new generalisation of row and column reduction.

Originele taal-2	Engels
Pagina's (van-tot)	1477-1498
Tijdschrift	Mathematics of Computation
Volume	73
Nummer van het tijdschrift	247
DOI's	https://doi.org/10.1090/S0025-5718-03-01582-5
Status	Gepubliceerd - 2004

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10.1090/S0025-5718-03-01582-5

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title = "Computing in groups of Lie type",

abstract = "We describe two methods for computing with the elements of untwisted groups of Lie type: using the Steinberg presentation and using highest weight representations. We give algorithms for element arithmetic within the Steinberg presentation. Conversion between this presentation and linear representations is achieved using a new generalisation of row and column reduction.",

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AB - We describe two methods for computing with the elements of untwisted groups of Lie type: using the Steinberg presentation and using highest weight representations. We give algorithms for element arithmetic within the Steinberg presentation. Conversion between this presentation and linear representations is achieved using a new generalisation of row and column reduction.

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DO - 10.1090/S0025-5718-03-01582-5

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VL - 73

SP - 1477

EP - 1498

JO - Mathematics of Computation

JF - Mathematics of Computation

IS - 247

ER -

Computing in groups of Lie type

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