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Maximal degree of irreducible Lie algebra representations over a field of positive characteristic

✍ Scribed by A. A. Mil'ner


Publisher
Springer US
Year
1980
Tongue
English
Weight
150 KB
Volume
14
Category
Article
ISSN
0016-2663

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Irreducible Finitary Lie Algebras over F
✍ Felix Leinen; Orazio Puglisi 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 67 KB

## ‫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