Computing in groups of Lie type

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

Research output: Contribution to journalArticleAcademicpeer-review

23 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)1477-1498
JournalMathematics of Computation
Volume73
Issue number247
DOIs
Publication statusPublished - 2004

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