The first cohomology of a Kac-Moody algebra with coefficients in an integrable category module

an investigation of the types of text reduction in subtitling: a case study of the persian film gilaneh with english subtitles

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Automorphic correction of the hyperbolic Kac-Moody algebra E10

Affine Kac-moody Algebras, Integrable Systems and Their Deformations

Representation theory of affine Kac-Moody algebras at the critical level contains many intricate structures, in particular, the hamiltonian structures of the KdV and modified KdV hierarchies and the Miura transformation between them. In this talk I will describe these structures and their deformations which will lead us to the deformed Virasoro and W–algebras and the integrable hierarchies asso...

Regular Kac-moody Superalgebras and Integrable Highest Weight Modules

We define regular Kac-Moody superalgebras and classify them using integrable modules. We give conditions for irreducible highest weight modules of regular Kac-Moody superalgebras to be integrable. This paper is a major part of the proof for the classification of finite-growth contragredient Lie superalgebras. The results of this paper are a crucial part of the proof for the classification of co...

The Spherical Hecke Algebra for Affine Kac-moody Groups I

We define the spherical Hecke algebra for an (untwisted) affine Kac-Moody group over a local non-archimedian field. We prove a generalization of the Satake isomorphism for these algebras, relating it to integrable representations of the Langlands dual affine Kac-Moody group. In the next publication we shall use these results to define and study the notion of Hecke eigenfunction for the group Ga...