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Start Over Subject modular Lie superalgebra

1. Some properties of generalized reduced Verma modules over $\mathbb{Z}$-graded modular Lie superalgebras

Creator:
Zheng, Keli and Zhang, Yongzheng
Format:
print, bez média, and svazek
Type:
model:article and TEXT
Subject:
modular Lie superalgebra, generalized reduced Verma module, coinduced module, invariant form, mixed product, 13, and 51
Language:
English
Description:
We study some properties of generalized reduced Verma modules over $\mathbb{Z}$-graded modular Lie superalgebras. Some properties of the generalized reduced Verma modules and coinduced modules are obtained. Moreover, invariant forms on the generalized reduced Verma modules are considered. In particular, for $\mathbb{Z}$-graded modular Lie superalgebras of Cartan type we prove that generalized reduced Verma modules are isomorphic to mixed products of modules., Keli Zheng, Yongzheng Zhang., and Obsahuje bibliografické odkazy
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

2. Some properties of the family $\Gamma $ of modular Lie superalgebras

Creator:
Xu, Xiaoning and Chen, Liangyun
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
modular Lie superalgebra, restricted Lie superalgebra, and restriction
Language:
English
Description:
In this paper, we continue to investigate some properties of the family $\Gamma $ of finite-dimensional simple modular Lie superalgebras which were constructed by X. N. Xu, Y. Z. Zhang, L. Y. Chen (2010). For each algebra in the family, a filtration is defined and proved to be invariant under the automorphism group. Then an intrinsic property is proved by the invariance of the filtration; that is, the integer parameters in the definition of Lie superalgebras $\Gamma $ are intrinsic. Thereby, we classify these Lie superalgebras in the sense of isomorphism. Finally, we study the associative forms and Killing forms of these Lie superalgebras and determine which superalgebras in the family are restrictable.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public