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arxiv: math-ph/0104001 · v1 · submitted 2001-04-01 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords specializedcharactersmodulesprincipallybasiccalculatecharacterdeduce
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In this paper, we calculate a series of principally specialized characters of the $\hat{\mathfrak{sl}}(m|1)$-modules of level 1. In particular, we show that the principally specialized characters of the basic modules $L(\Lambda_0)$ is expressed as an infinite product. And we deduce the specialized character formula of ``quasiparticle'' type.

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