Varieties of nilpotent elements for simple Lie algebras II: bad 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 an algebraically closed field k of characteristic p> 0 and let g be the (restricted) Lie algebra of G with pth power map [p]. The maximal ideal spectrum of the cohomology ring of the restricted enveloping algebra Maxspec(H2•(u(g), k)) can be identified with the variety N1(g)={x∈g:x[p]=0}. When the characteristic of the field is a good prime, this variety was first described as the closure of a certain Richardson orbit by Carlson, Lin, Nakano and Parshall [4]. Their methods used the techniques developed by Nakano, Parshall and Vella [23] which involved the verification of a conjecture of Jantzen on the support varieties of Weyl modules.
Original languageEnglish
Pages (from-to)65-99
Number of pages34
JournalJournal of Algebra
Volume292
DOIs
Publication statusPublished - 2005

Keywords

  • SUPPORT VARIETIES
  • UNIPOTENT
  • FIELDS

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