Vyacheslav Futorny, Libor Křižka, Petr Somberg
Published 2016-10-25Version 1
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.
Free Field Realizations of the Elliptic Affine Lie Algebra sl(2,R)+Ω_R/dR
Geometric representation theory for unitary groups of operator algebras
On the crossroads of enumerative geometry and geometric representation theory
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