Commuting varieties of Lie algebras over fields of prime characteristic

Levy, Paul (2002) Commuting varieties of Lie algebras over fields of prime characteristic. Journal of Algebra, 250 (2). pp. 473-484. ISSN 0021-8693

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.