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math.CO2021★ 1 cited
A new tableau model for irreducible polynomial representations of the orthogonal group
Hideya Watanabe
We provide a new tableau model from which one can easily deduce the characters of finite-dimensional irreducible polynomial representations of the special orthogonal group $SO_n(\m…
math.QA2021★ 3 cited
Based modules over the quantum group of type AI
Hideya Watanabe
This paper studies classical weight modules over the quantum group of type AI. We introduce the notion of based -modules by gener…