scholarly journals Generalized Casimir operators for Lie superalgebras

2021 ◽  
Vol 62 (10) ◽  
pp. 101703
Author(s):  
S. Eswara Rao
Keyword(s):  
Lie Superalgebras ◽  
Casimir Operators

Eigenvalues of Casimir operators for the general linear and orthosymplectic Lie superalgebras

1983 ◽  
Vol 24 (11) ◽  
pp. 2546-2549 ◽  
Author(s):  
Adam M. Bincer
Keyword(s):  
Lie Superalgebras ◽  
General Linear ◽  
Casimir Operators

Micu-type invariants for the Casimir operators of the Lie superalgebras osp(1,2n): application to the algebra osp(1,4)

1984 ◽  
Vol 17 (8) ◽  
pp. 1579-1592 ◽  
Author(s):  
M Bednar ◽  
B H J McKellar ◽  
V F Sachl
Keyword(s):  
Lie Superalgebras ◽  
Casimir Operators

Casimir operators for infinite-dimensional representations ofosp(1,2) andosp(1, 4) lie superalgebras

1986 ◽  
Vol 36 (9) ◽  
pp. 1003-1018 ◽  
Author(s):  
J. Blank ◽  
O. Navrátil
Keyword(s):  
Lie Superalgebras ◽  
Infinite Dimensional ◽  
Casimir Operators

Simple modules for some Cartan-type Lie superalgebras

2015 ◽  
Vol 1 (1032) ◽  
Author(s):  
Zhu Wei ◽  
Yongzheng Zhang
Keyword(s):  
Lie Superalgebras ◽  
Simple Modules ◽  
Cartan Type

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.

Constructions and $$T^{*}$$-Extensions of 3-BiHom-Lie Superalgebras

2021 ◽  
Vol 31 (2) ◽  
Author(s):  
Ismail Laraiedh
Keyword(s):  
Lie Superalgebras

scholarly journals Five exceptional simple Lie superalgebras of vector fields

1999 ◽  
Vol 33 (3) ◽  
pp. 208-219 ◽  
Author(s):  
I. M. Shchepochkina
Keyword(s):  
Vector Fields ◽  
Lie Superalgebras

scholarly journals Bell's primeness criterion and the simple Lie superalgebras

1998 ◽  
Vol 133 (1-2) ◽  
pp. 241-260 ◽  
Author(s):  
Mark C. Wilson
Keyword(s):  
Lie Superalgebras
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