Abstract
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.
Highlights
In the 1970s, physicists introduced the concept of Lie superalgebra in order to describe supersymmetry
Inspired by the above mentioned literatures, this paper constructs a finite-dimensional modular Lie superalgebra of contact type, which is denoted by K(n, m)
Let K(n) Dk(f)|f ∈ Λ(n). en, K(n) is a finitedimensional Lie superalgebra according to the operations in
Summary
In the 1970s, physicists introduced the concept of Lie superalgebra in order to describe supersymmetry (see [1]). Lie superalgebra is a natural generalization of Lie algebra. In 1977, Kac completed the classification of finite-dimensional simple Lie superalgebras over a field of characteristic zero (see [3]). Erefore, it is very important to construct new finite-dimensional modular Lie superalgebras. E finite-dimensional modular Lie superalgebras W(n, m), H(n, m) were constructed in [14, 15], respectively. Inspired by the above mentioned literatures, this paper constructs a finite-dimensional modular Lie superalgebra of contact type, which is denoted by K(n, m). 2. Preliminaries roughout this paper, F denotes an algebraic closed field of characteristic p ≥ 3; n is an integer greater than 3. Z2 0, 1 denotes the ring of integers modulo 2
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
