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.
Weidong Hong, Xiaoning Xu
Liaoning University; Liaoning University
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.
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