## ދ finite rank. We show that if Char ދ s 0, if dim V is infinite, and if L acts ދ irreducibly on V, then the derived algebra of L is simple. ᮊ 1998 Academic Press Let V be a vector space over the field .ދ The endomorphisms of finite Ž . rank form an ideal in End V , which becomes a local
Commuting Varieties of Lie Algebras over Fields of Prime Characteristic
✍ Scribed by Paul Levy
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 117 KB
- Volume
- 250
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
Let K be an algebraically closed field of positive characteristic and let G be a reductive group over K with Lie algebra . This paper will show that under certain mild assumptions on G, the commuting variety is an irreducible algebraic variety. 2002 Elsevier Science (USA)
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