Combinatorics of the sl₂ Spaces of Coinvariants III

2000/12/19 by Boris Feigin, B. Feigin, R. Kedem +9
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.CO #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.math/0012190

Latex, 44 pages

openalex publication_date 2000/12/19 · arxiv created 2001/12/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give the fermionic character formulas for the spaces of coinvariants obtained from level k integrable representations of \mathfrak sl₂. 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.

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