Calculating the structure of a semisimple Lie algebra

W.A. Graaf, de

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)

Abstract

First we briefly describe two previously published algorithms: one that constructs a Cartan subalgebra and one that decomposes a semisimple Lie algebra L as a direct sum of simple ideals. Then, by reducing L modulo a prime we derive an algorithm to obtain the type of L (thereby solving the isomorphism problem for semisimple Lie algebras over Q¯ having structure constants in Q).
Original languageEnglish
Pages (from-to)319-329
Number of pages11
JournalJournal of Pure and Applied Algebra
Volume117-118
DOIs
Publication statusPublished - 1997

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