Open AccessConstructions and Properties for a Finite-Dimensional Modular Lie Superalgebra
Author(s) -
Dan Mao,
Keli Zheng
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/7069556
Subject(s) - lie superalgebra , mathematics , subalgebra , combinatorics , algebra over a field , pure mathematics , affine lie algebra , current algebra
In this paper, a finite-dimensional Lie superalgebra K n , m over a field of prime characteristic is constructed. Then, we study some properties of K n , m . Moreover, we prove that K n , m is an extension of a simple Lie superalgebra, and if m = n − 1 , then it is isomorphic to a subalgebra of a restricted Lie superalgebra.
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