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arXiv · 1909.08881

Typical Irreducible Characters of Generalized Quantum Groups

Hiroyuki Yamane
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Abstract

We introduce the definition of the typical irreducible modules of the generalized quantum groups, and prove the Weyl-Kac-type formulas of their characters. As a by-product, we obtain the Weyl-Kac-type character formulas of the typical irreducible modules of the quantum superalgebras associated with the basic classical Lie superalgebras, which is explained in Introduction.

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Hiroyuki Yamane. 2019-09-19. Typical Irreducible Characters of Generalized Quantum Groups. https://arxiv.org/abs/1909.08881

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