Two-dimensional current algebras and affine fusion product

B. Feigin, E. Feigin

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

In this paper we study a family of commutative algebras generated by two infinite sets of generators. These algebras are parametrized by Young diagrams. We explain a connection of these algebras with the fusion product of integrable irreducible representations of the affine sl2 Lie algebra. As an application we derive a fermionic formula for the character of the affine fusion product of two modules. These fusion products can be considered as a simplest example of the double affine Demazure modules.

Original languageEnglish
Pages (from-to)176-198
Number of pages23
JournalJournal of Algebra
Volume313
Issue number1 SPEC. ISS.
DOIs
Publication statusPublished - 1 Jul 2007
Externally publishedYes

Keywords

  • Demazure modules
  • Kac-Moody algebras

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