HNN-Extension of Lie Superalgebras

2019 ◽  
Vol 43 (2) ◽  
pp. 1959-1970
Author(s):  
Manuel Ladra ◽  
Pilar Páez-Guillán ◽  
Chia Zargeh
Keyword(s):  
Lie Superalgebras ◽  
Hnn Extension

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 Primitive ideals, twisting functors and star actions for classical Lie superalgebras

2016 ◽  
Vol 2016 (718) ◽  
Author(s):  
Kevin Coulembier ◽  
Volodymyr Mazorchuk
Keyword(s):  
Representation Theory ◽  
Lie Superalgebras ◽  
Simple Modules ◽  
Primitive Ideals

AbstractWe study three related topics in representation theory of classical Lie superalgebras. The first one is classification of primitive ideals, i.e. annihilator ideals of simple modules, and inclusions between them. The second topic concerns Arkhipov’s twisting functors on the BGG category

Infinite Dimensional Boson-Fermion Representations of Lie Superalgebras D(M,N)

1984 ◽  
Vol 3 (4) ◽  
pp. 529-532 ◽  
Author(s):  
Han Qi-zhi ◽  
Liu Fu-sui ◽  
Sun Hong-zhou
Keyword(s):  
Lie Superalgebras ◽  
Infinite Dimensional
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