Principally specialized characters of sl(m|1)^-modules

2001/04/01 by Takuya Murakami, Murakami, Takuya
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0104001

9 pages

arxiv created 2001/04/01 · openalex publication_date 2001/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we calculate a series of principally specialized characters of the \mathfraksl(m|1)-modules of level 1. In particular, we show that the principally specialized characters of the basic modules L(Λ₀) is expressed as an infinite product. And we deduce the specialized character formula of ``quasiparticle'' type.

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