Add to ORKGWe investigate blocks of the Category O{script} for the Virasoro algebra over C. We demonstrate that the blocks have Kazhdan-Lusztig theories and that the truncated blocks give rise to interesting Koszul algebras. The simple modules have BGG resolutions, and from this we compute the extensions between Verma modules and simple modules, and between pairs of simple modules
Koszul algebras, introduced by Priddy, are positively graded K-algebras R whose residue fieldK has a...
Koszul algebras have arisen in many contexts; algebraic geometry, combinatorics, Lie algebras, non-c...
Abstract. In this paper we study a category of trees TI and prove that it is a Koszul category. Cons...
In the first part of this paper the projective dimension of the structural modules in the BGG catego...
In the first part of this paper the projective dimension of the structural modules in the BGG catego...
This article builds on work from [16], where the authors described Whittaker modules for the Virasor...
Representations of the Virasoro algebra are the main ingredient of Conformal Field Theory. This expl...
Representations of the Virasoro algebra are the main ingredient of Conformal Field Theory. This expl...
AbstractThe Virasoro algebra Vir possesses a triangular decomposition; this decomposition allows us ...
This thesis consists of a summary and three papers, concerning some aspects of representation theory...
We prove that thick category O associated to a semi-simple complex finite dimensional Lie algebra is...
Abstract. The Virasoro algebra is a central extension of the Witt algebra, the complexified Lie alge...
Let k be a field and R a standard graded k-algebra. We denote by HR the homology algebra of the Kosz...
This PhD thesis consists in a collection of three papers on Koszul duality of categories and on an a...
This PhD thesis consists in a collection of three papers on Koszul duality of categories and on an a...
Koszul algebras, introduced by Priddy, are positively graded K-algebras R whose residue fieldK has a...
Koszul algebras have arisen in many contexts; algebraic geometry, combinatorics, Lie algebras, non-c...
Abstract. In this paper we study a category of trees TI and prove that it is a Koszul category. Cons...
In the first part of this paper the projective dimension of the structural modules in the BGG catego...
In the first part of this paper the projective dimension of the structural modules in the BGG catego...
This article builds on work from [16], where the authors described Whittaker modules for the Virasor...
Representations of the Virasoro algebra are the main ingredient of Conformal Field Theory. This expl...
Representations of the Virasoro algebra are the main ingredient of Conformal Field Theory. This expl...
AbstractThe Virasoro algebra Vir possesses a triangular decomposition; this decomposition allows us ...
This thesis consists of a summary and three papers, concerning some aspects of representation theory...
We prove that thick category O associated to a semi-simple complex finite dimensional Lie algebra is...
Abstract. The Virasoro algebra is a central extension of the Witt algebra, the complexified Lie alge...
Let k be a field and R a standard graded k-algebra. We denote by HR the homology algebra of the Kosz...
This PhD thesis consists in a collection of three papers on Koszul duality of categories and on an a...
This PhD thesis consists in a collection of three papers on Koszul duality of categories and on an a...
Koszul algebras, introduced by Priddy, are positively graded K-algebras R whose residue fieldK has a...
Koszul algebras have arisen in many contexts; algebraic geometry, combinatorics, Lie algebras, non-c...
Abstract. In this paper we study a category of trees TI and prove that it is a Koszul category. Cons...