scholarly journals Non-weight representations of Cartan type S Lie algebras

2018 ◽  
Vol 46 (10) ◽  
pp. 4243-4264 ◽  
Author(s):  
Juanjuan Zhang
Keyword(s):  
Lie Algebras ◽  
Cartan Type

Restricted Envelopes of Lie Superalgebras

2015 ◽  
Vol 22 (02) ◽  
pp. 309-320
Author(s):  
Liping Sun ◽  
Wende Liu ◽  
Xiaocheng Gao ◽  
Boying Wu
Keyword(s):  
Lie Algebra ◽  
Lie Algebras ◽  
Lie Superalgebra ◽  
Lie Superalgebras ◽  
Cartan Type ◽  
Modular Lie Algebras ◽  
Modular Lie Superalgebras

Certain important results concerning p-envelopes of modular Lie algebras are generalized to the super-case. In particular, any p-envelope of the Lie algebra of a Lie superalgebra can be naturally extended to a restricted envelope of the Lie superalgebra. As an application, a theorem on the representations of Lie superalgebras is given, which is a super-version of Iwasawa's theorem in Lie algebra case. As an example, the minimal restricted envelopes are computed for three series of modular Lie superalgebras of Cartan type.

Classification of forms of restricted simple lie algebras of cartan type

1991 ◽  
Vol 19 (6) ◽  
pp. 1603-1628 ◽  
Author(s):  
Shirlei Serconek ◽  
Robert Lee Wilson
Keyword(s):  
Lie Algebras ◽  
Simple Lie Algebras ◽  
Cartan Type
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