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Commuting varieties of Lie algebras over fields of prime characteristic

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>15/04/2002
<mark>Journal</mark>Journal of Algebra
Issue number2
Volume250
Number of pages12
Pages (from-to)473-484
Publication StatusPublished
<mark>Original language</mark>English

Abstract

Let K be an algebraically closed field of positive characteristic and let G be a reductive group over K with Lie algebra g. This paper will show that under certain mild assumptions on G, the commuting variety C(g) is an irreducible algebraic variety.