Abstract. We prove a more general version of a result announced without proof in [DP], claiming roughly that in a partially integrable highest weight module over a Kac-Moody algebra the integrable directions form a parabolic subalgebra. Key words (1991 MSC): Primary 17B10; Secondary 17B67
Borel and de-Siebenthal classified the maximal connected subgroups of maximal rankof a connected com...
We construct a categorification of parabolic Verma modules for all quantum Kac-Moody algebras : the ...
AbstractLet g be a Kac-Moody algebra defined by a (not necessarily symmetrizable) generalized Cartan...
Let $\mathfrak{g}$ be a complex Kac-Moody algebra, with Cartan subalgebra $\mathfrak{h}$. Also fix a...
Let $\mathfrak{g}$ be a finite or an affine type Lie algebra over $\mathbb{C}$ with root system $\De...
Abstract. An equivalence between categories of modules for a generalized Kac-Moody algebra and modul...
We consider a more general parabolic category over symmetrizable Kac-Moody algebras. We introduce a ...
AbstractWe define regular Kac–Moody superalgebras and classify them using integrable modules. We giv...
The structure of the parafermion vertex operator algebra associated to an integrable highest weight ...
Let V be a highest weight module over a Kac-Moody algebra g, and let cony V denote the convex hull o...
We give positive formulas for the weights of every simple highest weight module $L(\lambda)$ over an...
RésuméSoit g une algèbre de Kac-Moody symétrisable. Dans [KW1], Kac et Wakimoto ont démontré une for...
AbstractIn this paper we give a proof of the following statement: “Every irreducible integrable repr...
This note is a survey of the results by Beilinson-Bernstein [1], Brylinski-Kashiwara [3], Kashiwara ...
AbstractWe study the Ext-algebra of the direct sum of all parabolic Verma modules in the principal b...
Borel and de-Siebenthal classified the maximal connected subgroups of maximal rankof a connected com...
We construct a categorification of parabolic Verma modules for all quantum Kac-Moody algebras : the ...
AbstractLet g be a Kac-Moody algebra defined by a (not necessarily symmetrizable) generalized Cartan...
Let $\mathfrak{g}$ be a complex Kac-Moody algebra, with Cartan subalgebra $\mathfrak{h}$. Also fix a...
Let $\mathfrak{g}$ be a finite or an affine type Lie algebra over $\mathbb{C}$ with root system $\De...
Abstract. An equivalence between categories of modules for a generalized Kac-Moody algebra and modul...
We consider a more general parabolic category over symmetrizable Kac-Moody algebras. We introduce a ...
AbstractWe define regular Kac–Moody superalgebras and classify them using integrable modules. We giv...
The structure of the parafermion vertex operator algebra associated to an integrable highest weight ...
Let V be a highest weight module over a Kac-Moody algebra g, and let cony V denote the convex hull o...
We give positive formulas for the weights of every simple highest weight module $L(\lambda)$ over an...
RésuméSoit g une algèbre de Kac-Moody symétrisable. Dans [KW1], Kac et Wakimoto ont démontré une for...
AbstractIn this paper we give a proof of the following statement: “Every irreducible integrable repr...
This note is a survey of the results by Beilinson-Bernstein [1], Brylinski-Kashiwara [3], Kashiwara ...
AbstractWe study the Ext-algebra of the direct sum of all parabolic Verma modules in the principal b...
Borel and de-Siebenthal classified the maximal connected subgroups of maximal rankof a connected com...
We construct a categorification of parabolic Verma modules for all quantum Kac-Moody algebras : the ...
AbstractLet g be a Kac-Moody algebra defined by a (not necessarily symmetrizable) generalized Cartan...
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