Multipartitions, Generalized Durfee Squares and Affine Lie Algebra Characters

2000/02/28 by Peter Bouwknegt, Bouwknegt, Peter
Mathematics · #05A17 #05A19 #17B67 #81T40 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CO #math.QA #msc:05A17 #msc:05A19 #msc:17B67 #msc:81T40

paper · pdf · doi:10.48550/arxiv.math/0002223

LaTeX2e, 14 pages

arxiv created 2000/02/28 · openalex publication_date 2000/02/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give some higher dimensional analogues of the Durfee square formula and point out their relation to dissections of multipartitions. We apply the results to write certain affine Lie algebra characters in terms of Universal Chiral Partition Functions.

Citations

• The universal chiral partition function for exclusion statistics

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