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arXiv:1404.7148 [math.RT]AbstractReferencesReviewsResources

Localization of free field realizations of affine Lie algebras

Vyacheslav Futorny, Dimitar Grantcharov, Renato A. Martins

Published 2014-04-28, updated 2015-02-15Version 2

We use localization technique to construct new families of irreducible modules of affine Kac-Moody algebras. In particular, localization is applied to the first free field realization of the affine Lie algebra A_1^{(1)} or, equivalently, to imaginary Verma modules.

Comments: 18 pages, minor changes made, to appear in Lett. Math. Phys
Categories: math.RT
Subjects: 17B67, 81R10
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