On quantum adjacency algebras of Doob graphs and their irreducible modules

Author(s):  
John Vincent S. Morales ◽  
Tessie M. Palma
2019 ◽  
Vol 17 (1) ◽  
pp. 1381-1391
Author(s):  
Keli Zheng ◽  
Yongzheng Zhang

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.


2010 ◽  
Vol 16 (1) ◽  
pp. 71-89 ◽  
Author(s):  
Evgeny Feigin ◽  
Ghislain Fourier ◽  
Peter Littelmann

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