scholarly journals The Howe Duality and Lie Superalgebras

2001 ◽  
pp. 93-111 ◽  
Author(s):  
Dimitry Leites ◽  
Irina Shchepochkina
Keyword(s):  
Lie Superalgebras ◽  
Howe Duality

scholarly journals Denominator identities for finite-dimensional Lie superalgebras and Howe duality for compact dual pairs

2012 ◽  
Vol 7 (1) ◽  
pp. 41-134 ◽  
Author(s):  
Maria Gorelik ◽  
Victor G. Kac ◽  
Pierluigi Möseneder Frajria ◽  
Paolo Papi
Keyword(s):  
Lie Superalgebras ◽  
Dual Pairs ◽  
Finite Dimensional ◽  
Howe Duality

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 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

Super-Drinfeldians and super-Yangians of Lie superalgebras of type A(n∣m)

2001 ◽  
Vol 64 (12) ◽  
pp. 2179-2184 ◽  
Author(s):  
V. N. Tolstoy
Keyword(s):  
Type A ◽  
Lie Superalgebras
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