Infinite fusion products and sl̂2 cosets

E. Feigin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


In this paper we study an approximation of tensor product of irreducible integrable sl̂2 representations by infinite fusion products. This gives an approximation of the corresponding coset theories. As an application we represent characters of spaces of these theories as limits of certain restricted Kostka polynomials. This leads to the bosonic (which is known) and fermionic (which is new) formulas for the sl̂2 branching functions.

Original languageEnglish
Pages (from-to)145-161
Number of pages17
JournalJournal of Lie Theory
Issue number1
StatePublished - 2007
Externally publishedYes


  • Branching functions
  • Cosets
  • Kostka polynomials


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