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arXiv · 1610.07973

Geometric realizations of affine Kac-Moody algebras

Vyacheslav Futorny·Libor Křižka·Petr Somberg
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Abstract

The goal of the present paper is to obtain new free field realizations of affine Kac-Moody algebras motivated by geometric representation theory for generalized flag manifolds of finite-dimensional semisimple Lie groups. We provide an explicit construction of a large class of irreducible modules associated with certain parabolic subalgebras covering all known special cases.

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BibTeXRIS

Vyacheslav Futorny, Libor Křižka, Petr Somberg. 2016-10-25. Geometric realizations of affine Kac-Moody algebras. https://arxiv.org/abs/1610.07973

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