Varieties of nilpotent elements for simple Lie algebras I: Good primes

David John Benson, B. D. Boe, D. K. Nakano, Nadia Mazza, UGA VIGRE Algebra Group

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Let G be a simple algebraic group over k = C, or F-p where p is good. Set g = Lie G. Given r is an element of N and a faithful (restricted) representation rho: g --> gl(V), one can define a variety of nilpotent elements N-r,(rho)(g) = {x is an element of g: rho(x)(r) = 0}. In this paper we determine this variety when rho is an irreducible representation of minimal dimension or the adjoint representation. (C) 2004 Elsevier Inc. All rights reserved.

Original languageEnglish
Pages (from-to)719-737
Number of pages18
JournalJournal of Algebra
Volume280
Issue number2
DOIs
Publication statusPublished - 2004

Keywords

  • SUPPORT VARIETIES
  • UNIPOTENT ELEMENTS
  • COHOMOLOGY

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