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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.

journal of mathematics

Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>K</mi> <mfenced open="(" close=")" separators="|"> <mrow> <mi>n</mi> <mo>,</mo> <mi>m</mi> </mrow> </mfenced> </math>

Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra K n , m

Constructions and Properties for a Finite-Dimensional Modular Lie Superalgebra $K (n, m)$