Two-dimensional current algebras and affine fusion product

B. Feigin, E. Feigin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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
Issue number1 SPEC. ISS.
StatePublished - 1 Jul 2007
Externally publishedYes


  • Demazure modules
  • Kac-Moody algebras


Dive into the research topics of 'Two-dimensional current algebras and affine fusion product'. Together they form a unique fingerprint.

Cite this