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Showing 1 to 7 of 7 for “"Category O"”.
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On representations of rational Cherednik algebras
… the refined filtration by supports for the category O and the Dunkl weight function. The refined filtration by supports provides an analogue for rational Cherednik algebras of the Harish-Chandra series appearing in the representation theory of finite groups of Lie type. In particular, …
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Categories with projective functors
We introduce the notion of category with projective functors. It is then applied to describe the right (or left) exact functors on various categories of representations of semi simple Lie algebras. Other applications are the description of the algebra of adjoint finite endomorphisms of a simple …
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On Vertex Operator Algebras of Affine Type at Admissible Levels
… of finding the irreducible modules in the category O for VOAs of affine type, when the level is admissible. Applying the theory of Zhu's algebra, the highest weights of these modules are characterized as the zeros of a polynomial ideal determined by the single singular vector generating the …
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Zentren deformierter Darstellungskategorien und Verschiebungsfunktoren
Wir definieren eine deformierte Version der klassischen Kategorie O über einer symmetrisierbaren Kac-Moody Algebra, untersuchen deren projektive Objekte und beweisen eine Version der klassischen BGG-Reziprozität. Lokalisierungstechniken erlauben die Berechnung der Zentren aller Blöcke außerhalb der …
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On quasi-dominant weights and Hilbert series of determinantal varieties.
… characterization in terms of parabolic category O and Kostant's minimal length coset representatives. We give a new characterization in terms of associated varieties and show that the subset of quasi-dominant weights whose highest weight modules occur in the setting of Howe dual pairs …
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Kazhdan-Laumon Categories and Representations
… and G. Laumon constructed the Kazhdan-Laumon category, an abelian category A associated to a reductive group G over a finite field, with the aim of using it to construct discrete series representations of the finite Chevalley group G(F subscript q). The welldefinedness of their construction …
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Der Kombinatorikfunktor V : graduierte Kategorie O, Hauptserien und primitive Ideale
Wir untersuchen eine graduierte Version der sogenannten Kategorie O. Zentrales Hilfsmittel zur Definition ist der von W. Soergel eingeführte Kombinatorikfunktor V. Wir definieren eine graduierte Version von Verschiebungsfunktoren, die uns eine graduierte Version von Hauptserien liefert. Deren …