๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

New simple infinite dimensional lie algebras related to those of generalized cartan type *

โœ Scribed by Jia, Yuting

Book ID
127309501
Publisher
Taylor and Francis Group
Year
1999
Tongue
English
Weight
526 KB
Volume
27
Category
Article
ISSN
0092-7872

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Some infinite-dimensional simple Lie alg
Some infinite-dimensional simple Lie algebras in characteristic 0 related to those of Block
โœ Dragomir ลฝ. Dokoviฤ‡; Kaiming Zhao ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 727 KB

Given a nontrivial torsion-free abelian group (A, +, 0), a field F of characteristic 0, and a nondegenerate bi-additive skew-symmetric map cp : A x A -+ F, we study the Lie algebra \_Y(A, cp) over F with basis {ex: x E A\(O)} an multiplication [ex,ey] = cp(x, y)e,+,. We show that d Y(A, 'p) is simpl

New Generalized Simple Lie Algebras of C
New Generalized Simple Lie Algebras of Cartan Type over a Field with Characteristic 0
โœ Xiaoping Xu ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 239 KB

We construct four new series of generalized simple Lie algebras of Cartan type, using the mixtures of grading operators and down-grading operators. Our results in this paper are further generalizations of those in Osborn's work (J. Algebra 185 (1996), 820-835).

New Simple Infinite-Dimensional Lie Alge
New Simple Infinite-Dimensional Lie Algebras of Characteristic 0
โœ J.Marshall Osborn ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 198 KB

We construct here several classes of simple Lie algebras of characteristic ลฝ . 0 which include the Virasoro algebra without central charge and the graded Lie algebras of Cartan type. Our construction is motivated by our w x recent construction of simple locally Novikov algebras in 5 . Our simple Li