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math.QA2019
Typical Irreducible Characters of Generalized Quantum Groups
Hiroyuki Yamane
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 obta…
math.QA2019★ 1 cited
Natural Elements of Center of Generalized Quantum Groups
Punita Batra, Hiroyuki Yamane
This paper gives elements in the (skew) center of the generalized quantum group corresponding to its irreducible finite dimensional modules. Finally we give a conjecture stating th…