AbstractIn this paper, we generalize a result by Berman and Billig on weight modules over Lie algebras with polynomial multiplication. More precisely, we show that a highest weight module with an exp-polynomial “highest weight” over an exp-polynomial Lie algebra has finite dimensional weight spaces. We also get a class of irreducible weight modules with finite dimensional weight spaces over generalized Virasoro algebras which do not occur over the classical Virasoro algebra
AbstractWe study a certain class of categories of Lie algebra modules which include the well-known c...
The Virasoro Lie algebra is a one-dimensional central extension of the Witt algebra, which can be re...
Irreducible nonzero level modules with finite-dimensional weight spaces are discussed for nontwisted...
AbstractIn this paper, we introduce pre-exp-polynomial Lie algebras which include loop algebras, Vir...
Let G be a rank n additive subgroup of C and Vir[G] the corresponding Virasoro algebra of rank n. In...
We show that the support of a simple weight module over the Virasoro algebra, which has an infinite-...
Let be a finite-dimensional semisimple Lie algebra over having rank l and let V be an irreducible fi...
AbstractIntrigued by a well-known theorem of Mathieu’s on Harish-Chandra modules over the Virasoro a...
A. Dzhumadil’daev classified all irreducible finite dimensional repre-sentations of the simple n-Lie...
We solve a long standing problem of the classification of all simple modules with finite-dimensional...
A. Dzhumadil’daev classified all irreducible finite dimensional representations of the simple n-Lie ...
AbstractLet B be the universal central extension of a graded Lie algebra of Block type. In this pape...
This note is a survey of the results by Beilinson-Bernstein [1], Brylinski-Kashiwara [3], Kashiwara ...
AbstractLet G be a rank n additive subgroup of C and Vir[G] the corresponding Virasoro algebra of ra...
In this paper, indecomposable and irreducible weight representations with 1-dimensional weight space...
AbstractWe study a certain class of categories of Lie algebra modules which include the well-known c...
The Virasoro Lie algebra is a one-dimensional central extension of the Witt algebra, which can be re...
Irreducible nonzero level modules with finite-dimensional weight spaces are discussed for nontwisted...
AbstractIn this paper, we introduce pre-exp-polynomial Lie algebras which include loop algebras, Vir...
Let G be a rank n additive subgroup of C and Vir[G] the corresponding Virasoro algebra of rank n. In...
We show that the support of a simple weight module over the Virasoro algebra, which has an infinite-...
Let be a finite-dimensional semisimple Lie algebra over having rank l and let V be an irreducible fi...
AbstractIntrigued by a well-known theorem of Mathieu’s on Harish-Chandra modules over the Virasoro a...
A. Dzhumadil’daev classified all irreducible finite dimensional repre-sentations of the simple n-Lie...
We solve a long standing problem of the classification of all simple modules with finite-dimensional...
A. Dzhumadil’daev classified all irreducible finite dimensional representations of the simple n-Lie ...
AbstractLet B be the universal central extension of a graded Lie algebra of Block type. In this pape...
This note is a survey of the results by Beilinson-Bernstein [1], Brylinski-Kashiwara [3], Kashiwara ...
AbstractLet G be a rank n additive subgroup of C and Vir[G] the corresponding Virasoro algebra of ra...
In this paper, indecomposable and irreducible weight representations with 1-dimensional weight space...
AbstractWe study a certain class of categories of Lie algebra modules which include the well-known c...
The Virasoro Lie algebra is a one-dimensional central extension of the Witt algebra, which can be re...
Irreducible nonzero level modules with finite-dimensional weight spaces are discussed for nontwisted...
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