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
Simple Lie Algebras over Fields of Positive Characteristic Structure Theory
✍ Scribed by Helmut Strade
- Book ID
- 127451674
- Publisher
- Walter de Gruyter
- Year
- 2004
- Tongue
- English
- Weight
- 3 MB
- Series
- De Gruyter Expositions in Mathematics, 38
- Category
- Library
- ISBN
- 3110142112
No coin nor oath required. For personal study only.
✦ Synopsis
The final, or at least currently final, version of the Block-Wilson-Strade-Premet Classification Theorem states that every finite-dimensional simple Lie algebra over an algebraically closed field of characteristic p greater than 3 is of classical, Cartan, or Melikian type. In two volumes, Strade assembles the proof of the Theorem with explanations and references. The first volume prepares the ground for the classification work performed in the second. The account would interest research mathematicians and advanced graduate students in algebra
📜 SIMILAR VOLUMES
## 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)