Computing split maximal toral subalgebras of Lie algebras over fields of small characteristic
✍ Scribed by Dan Roozemond
- Book ID
- 118480768
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 403 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The problem of classifying the finite-dimensional simple Lie algebras over fields of characteristic p > 0 is a long-standing one. Work on this question during the last 35 years has been directed by the Kostrikin-Shafarevich Conjecture of 1966, which states that over an algebraically closed field of
It is proved that every finite dimensional simple Lie algebra of absolute toral rank 2 over an algebraically closed field of characteristic p ) 3 is of classical or Cartan type or a Melikian algebra.
## 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
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)