scholarly journals Characters of (relatively) integrable modules over affine Lie superalgebras

2015 ◽  
Vol 10 (2) ◽  
pp. 135-235 ◽  
Author(s):  
Maria Gorelik ◽  
Victor G. Kac
Keyword(s):  
Lie Superalgebras ◽  
Integrable Modules

scholarly journals Integrable modules for affine Lie superalgebras

2009 ◽  
Vol 361 (10) ◽  
pp. 5435-5435 ◽  
Author(s):  
Senapathi Eswara Rao ◽  
Vyacheslav Futorny
Keyword(s):  
Lie Superalgebras ◽  
Integrable Modules

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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