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

Keywords

  • Coinvariants
  • Fermionic character formulas

ASJC Scopus subject areas

  • Algebra and Number Theory

Fingerprint Dive into the research topics of 'Combinatorics of the s-fraktur sign l-fraktur sign<sub>2</sub> Coinvariants: Dual functional realization and recursion'. Together they form a unique fingerprint.

  • Cite this