scholarly journals Errata to: "On defining relations of affine Lie superalgebras and affine quantized universal enveloping superalgebras''

2001 ◽  
Vol 37 (4) ◽  
pp. 615-619 ◽  
Author(s):  
Hiroyuki Yamane
Keyword(s):  
Lie Superalgebras ◽  
Defining Relations

scholarly journals DEFINING RELATIONS OF ALMOST AFFINE (HYPERBOLIC) LIE SUPERALGEBRAS

2010 ◽  
Vol 17 (sup1) ◽  
pp. 163-168 ◽  
Author(s):  
SOFIAN BOUARROUDJ ◽  
PAVEL GROZMAN ◽  
DIMITRY LEITES
Keyword(s):  
Lie Superalgebras ◽  
Defining Relations

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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