Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2021; 58(5): 1129-1147

Online first article August 24, 2021      Printed September 30, 2021

https://doi.org/10.4134/BKMS.b200639

Copyright © The Korean Mathematical Society.

A note on the finite-dimensional odd Contact superalgebra over a field of prime characteristic

Weidong Hong, Xiaoning Xu

Liaoning University; Liaoning University

Abstract

This paper aims to analyze the $PTG$ module for the finite-dimensional odd Contact superalgebra over a field of prime characteristic by using the method of Hu and Shen's mixed product realization. The general acting law in odd Contact superalgebra is obtained. In addition, the structure and irreducibility of graded module for odd Contact superalgebra are discussed.

Keywords: Modular Lie superalgebra, weight, irreducible

MSC numbers: Primary 17B50, 17B10

Supported by: This work was financially supported by NSFC 11501274 and LNECFC L2015203.