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Showing 1 to 3 of 3 for “"Kac-Moody algebras"”.
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Dual Filtered Graphs for Kac-Moody algebras
… central element $\Kcen$ for an arbitrary Kac-Moody algebra $g$. In our construction, both graphs $(\Gamma_s(\Lambda), \Gamma_w(\Kcen))$ have the vertex set as the Weyl group of $g$, with the grading given by the length function. The edges of the graph $\Gamma_s(\La)$ are labeled versions …
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Zentren deformierter Darstellungskategorien und Verschiebungsfunktoren
… 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 kritischen Hyperebene. Darüberhinaus …
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On Vertex Operator Algebras of Affine Type at Admissible Levels
… representation theory of simple vertex operator algebras (VOAs) of affine type at admissible levels. To do this, it is crucial to obtain knowledge of the singular vectors which generate the maximal submodules, with respect to which these VOAs appear as irreducible quotients, and therefore a …