Geometric realizations of affine Kac-Moody algebras

Author(s)

Futorny, Vyacheslav ^[1] ; Krizka, Libor ^[2] ; Somberg, Petr ^[2]

Affiliation

^[1] Univ Sao Paulo, Inst Matemat & Estat, Caixa Postal 66281, BR-05315970 Sao Paulo - Brazil

^[2] Charles Univ Prague, Fac Math & Phys, Math Inst, Sokolovska 83, Prague 18000 8 - Czech Republic

• Document type: Journal article
• Source: Journal of Algebra; v. 528, p. 177-216, JUN 1 2019.
• Web of Science Citations: 0

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. (C) 2019 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 14/09310-5 - Algebraic structures and their representations
• Grantee: Vyacheslav Futorny
• Support Opportunities: Research Projects - Thematic Grants