Combinatorics of the s-fraktur sign l-fraktur sign2 Coinvariants: Dual functional realization and recursion

B. Feigin, R. Kedem, S. Loktev, T. Miwa, E. Mukhin

Research output: Contribution to journalArticle

Abstract

We give the fermionic character formulas for the spaces of coinvariants obtained from level k integrable representations of s-fraktur sign l-fraktur sign2. We establish the functional realization of the spaces dual to the coinvariant spaces. We parameterize functions in the dual spaces by rigged partitions, and prove the recursion relations for the sets of rigged partitions.

Original languageEnglish (US)
Pages (from-to)193-241
Number of pages49
JournalCompositio Mathematica
Volume134
Issue number2
DOIs
StatePublished - Dec 1 2002

Fingerprint

Dual space
Combinatorics
Recursion
Partition
Character Formula
Recursion Relations
Parameterise

Keywords

  • Coinvariants
  • Fermionic character formulas

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Combinatorics of the s-fraktur sign l-fraktur sign2 Coinvariants : Dual functional realization and recursion. / Feigin, B.; Kedem, R.; Loktev, S.; Miwa, T.; Mukhin, E.

In: Compositio Mathematica, Vol. 134, No. 2, 01.12.2002, p. 193-241.

Research output: Contribution to journalArticle

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