scholarly journals Irreducible modules over finite simple Lie pseudoalgebras III. Primitive pseudoalgebras of type H

2021 ◽  
Vol 392 ◽  
pp. 107963
Author(s):  
Bojko Bakalov ◽  
Alessandro D'Andrea ◽  
Victor G. Kac
Keyword(s):  
Irreducible 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.

PBW filtration and bases for irreducible modules in type A n

2010 ◽  
Vol 16 (1) ◽  
pp. 71-89 ◽  
Author(s):  
Evgeny Feigin ◽  
Ghislain Fourier ◽  
Peter Littelmann
Keyword(s):  
Type A ◽  
Irreducible Modules ◽  
Pbw Filtration
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