scholarly journals Spherical indecomposable representations of Lie superalgebras

2020 ◽  
Vol 547 ◽  
pp. 262-311
Author(s):  
Alexander Sherman
Keyword(s):  
Lie Superalgebras ◽  
Indecomposable Representations

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 On the Number of Absolutely Indecomposable Representations of a Quiver

1999 ◽  
Vol 221 (1) ◽  
pp. 29-49 ◽  
Author(s):  
Bert Sevenhant ◽  
Michel Van Den Bergh
Keyword(s):  
Indecomposable Representations
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