Geometric realizations of affine Kac-Moody algebras
Representation Theory
2016-10-26 v1 Mathematical Physics
Algebraic Geometry
Functional Analysis
math.MP
Operator Algebras
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.
Keywords
Cite
@article{arxiv.1610.07973,
title = {Geometric realizations of affine Kac-Moody algebras},
author = {Vyacheslav Futorny and Libor Křižka and Petr Somberg},
journal= {arXiv preprint arXiv:1610.07973},
year = {2016}
}