✦ LIBER ✦

Finitary Lie algebras

✍ Scribed by A.A. Baranov; H. Strade

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 303 KB
Volume: 254
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00079-0

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

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.

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

Finitary Algebraic Logic

✍ Roger D. Maddux 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 713 KB

Finitary algebraic logic II

✍ Roger D. Maddux 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 208 KB

## Abstract This is a supplement to the paper “Finitary Algebraic Logic” [1]. It includes corrections for several errors and some additional results. MSC: 03G15, 03G25.

On Lie-Admissible Algebras Whose Commuta

On Lie-Admissible Algebras Whose Commutator Lie Algebras Are Lie Subalgebras of Prime Associative Algebras

✍ K.I. Beidar; M.A. Chebotar 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 210 KB

We describe third power associative multiplications ) on noncentral Lie ideals of prime algebras and skew elements of prime algebras with involution provided w x that x ) y y y ) x s x, y for all x, y and the prime algebras in question do not satisfy polynomial identities of low degree. We also obta