In a recent paper by the authors, the associative and the Lie algebras of Weyl type A[D] = AâŠ—F[D] were introduced, where A is a commutative associative algebra with an identity element over a field Fâ€¦ (More)

Guangâ€™ai Song and Yucai Su Department of Mathematics, Shanghai Jiao Tong University, Shanghai, 200240, China E-mail: gasong@sjtu.edu.cn, ycsu@sjtu.edu.cn Abstract. In a paper by Michaelis a class ofâ€¦ (More)

We classify the finite dimensional indecomposable sl(m/n)-modules with at least a typical or singly atypical primitive weight. We do this classification not only for weight modules, but also forâ€¦ (More)

Recently, a number of new classes of infinite-dimensional simple Lie algebras over a Field of characteristic 0 were discovered by several authors (see the references at the end of this paper). Amongâ€¦ (More)

The generalized Kazhdan-Lusztig polynomials for the finite dimensional irreducible representations of the general linear superalgebra are computed explicitly. Using the result we establish a one toâ€¦ (More)

For a nondegenerate additive subgroup Î“ of the n-dimensional vector space IF over an algebraically closed field IF of characteristic zero, there is an associative algebra and a Lie algebra of Weylâ€¦ (More)

To study finite-dimensional modules of the Lie superalgebras, Kac introduced the Kac-modules V(Î›) and divided them into typical or atypical modules according as they are simple or not. For Î› beingâ€¦ (More)

Over a field IF of any characteristic, for a commutative associative algebra A with an identity element and for the polynomial algebra IF [D] of a commutative derivation subalgebra D of A, theâ€¦ (More)

We classify all the pairs of a commutative associative algebra with an identity element and its finite-dimensional commutative locally-finite derivation subalgebra such that the commutativeâ€¦ (More)

X iv :0 80 1. 22 09 v1 [ m at h. R A ] 1 5 Ja n 20 08 Representations of the SchrÃ¶dinger-Virasoro algebras Junbo Li, Yucai Su âˆ—)Department of Mathematics, Shanghai Jiao Tong University, Shanghaiâ€¦ (More)