Character formulas for Feigin–Stoyanovsky’s type subspaces of standard $\mathfrak{sl}(3, \mathbb{C})^{\widetilde{}}$ -modules

2012 ◽  
Vol 27 (3) ◽  
pp. 357-376 ◽  
Author(s):  
Miroslav Jerković
Keyword(s):  
Character Formulas

scholarly journals Typical irreducible characters of generalized quantum groups

2020 ◽  
pp. 2140014
Author(s):  
Hiroyuki Yamane
Keyword(s):  
Quantum Groups ◽  
Lie Superalgebras ◽  
Irreducible Characters ◽  
Irreducible Modules ◽  
Character Formulas ◽  
Type Character ◽  
Definition Of ◽  
Quantum Superalgebras

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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