Structure of a new class of non-graded infinite dimensional simple Lie algebras

2004/02/26 by Yucai Su
Mathematics · #math.QA #msc:17B40 #msc:17B65 #msc:17B70

paper · pdf

published as J. Algebra, 267 (2003), 542-558 · 16 pages

arxiv created 2004/02/26 · arxiv updated 2009/12/01

Abstract

A new class of infinite dimensional simple Lie algebras over a field with characteristic 0 are constructed. These are examples of non-graded Lie algebras. The isomorphism classes of these Lie algebras are determined. The structure space of these algebras is given explicitly.

Related

• Structure of the Lie algebras related to those of block
• Nongraded Infinite-Dimensional Simple Lie Algebras
• Lie algebras of small dimension
• Lie algebras whose derivation algebras are simple
• Classification of finite dimensional simple Lie algebras in prime characteristics