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Complex finitary simple Lie algebras

✍ Scribed by A.A. Baranov

Publisher
Springer
Year
1999
Tongue
English
Weight
143 KB
Volume
72
Category
Article
ISSN
0003-889X

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📜 SIMILAR VOLUMES

Finitary Simple Lie Algebras
Finitary Simple Lie Algebras
✍ A.A. Baranov 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 233 KB

An algebra is called finitary if it consists of finite-rank transformations of a vector space. We classify finitary simple Lie algebras over a field of characteristic 0. We also describe finitary irreducible Lie algebras.

Finitary Lie algebras
Finitary Lie algebras
✍ A.A. Baranov; H. Strade 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 303 KB

An algebra is called finitary if it consists of finite-rank transformations of a vector space. We classify finitary simple and finitary irreducible Lie algebras over an algebraically closed field of characteristic = 2, 3.

Representations of finitary Lie algebras
Representations of finitary Lie algebras
✍ H. Strade 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 201 KB

Let F be an algebraically closed field of characteristic = 2, 3, W a F -vector space and The faithful irreducible L-modules are determined. It is shown that L has minimal ideals. If a minimal ideal S is infinite-dimensional then SW is a completely reducible L-module. Suppose L ∩ fgl(W ) = (0), W is

Irreducible Finitary Lie Algebras over F
Irreducible Finitary Lie Algebras over Fields of Characteristic Zero
✍ 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