The presentation andqdeformation of special linear Lie superalgebras

1993 ◽  
Vol 34 (8) ◽  
pp. 3780-3808 ◽  
Author(s):  
M. Scheunert
Keyword(s):  
Lie Superalgebras ◽  
Special Linear

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.

scholarly journals Relative (pre)-modular categories from special linear Lie superalgebras

2021 ◽  
Author(s):  
Cristina Ana-Maria Anghel ◽  
Nathan Geer ◽  
Bertrand Patureau-Mirand
Keyword(s):  
Lie Superalgebras ◽  
Special Linear
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