Character Formulas for a Class of Simple Restricted Modules over the Simple Lie Superalgebras of Witt Type

2019 ◽  
Vol 41 (1) ◽  
pp. 49-60
Author(s):  
Yu-Feng Yao
Keyword(s):  
Lie Superalgebras ◽  
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.

scholarly journals Character Formulas for Simple Modules of Hamiltonian Lie Superalgebras of Odd Type

2019 ◽  
Vol 23 (5) ◽  
pp. 1091-1113
Author(s):  
Wende Liu ◽  
Jixia Yuan ◽  
Shujuan Wang
Keyword(s):  
Lie Superalgebras ◽  
Simple Modules ◽  
Character Formulas

Character formulas for irreducible modules of the Lie superalgebras sl(m/n)

1990 ◽  
Vol 31 (9) ◽  
pp. 2278-2304 ◽  
Author(s):  
J. Van der Jeugt ◽  
J. W. B. Hughes ◽  
R. C. King ◽  
J. Thierry‐Mieg
Keyword(s):  
Lie Superalgebras ◽  
Irreducible Modules ◽  
Character Formulas

scholarly journals Irreducible modules with highest weight vectors over modular Witt and special Lie superalgebras

2019 ◽  
Vol 17 (1) ◽  
pp. 1381-1391
Author(s):  
Keli Zheng ◽  
Yongzheng Zhang
Keyword(s):  
Lie Superalgebras ◽  
Arbitrary Field ◽  
Special Linear ◽  
Highest Weight ◽  
Irreducible Modules

Abstract Let 𝔽 be an arbitrary field of characteristic p > 2. In this paper we study irreducible modules with highest weight vectors over Witt and special Lie superalgebras of 𝔽. The same irreducible modules of general and special linear Lie superalgebras, which are the 0-th part of Witt and special Lie superalgebras in certain ℤ-grading, are also considered. Then we establish a certain connection called a P-expansion between these modules.

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