๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Infinite Dimensional Novikov Algebras of Characteristic 0

โœ Scribed by J.M. Osborn


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
733 KB
Volume
167
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


New Simple Infinite-Dimensional Lie Alge
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

Classification of Simple Novikov Algebra
โœ Xiaoping Xu ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 218 KB

In this paper, we first present a classification theorem of simple infinitedimensional Novikov algebras over an algebraically closed field of characteristic 0. Then we classify all the irreducible modules of certain infinite-dimensional simple Novikov algebras with an idempotent element whose left a

Some infinite-dimensional simple Lie alg
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