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
Infinite Dimensional Novikov Algebras of Characteristic 0
โ Scribed by J.M. Osborn
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 733 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0021-8693
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๐ SIMILAR VOLUMES
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
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