Restricted Kac modules for special contact Lie superalgebras of odd type

Abstract

We consider the simple restricted modules for special contact Lie superalgebras of odd type over an algebraically closed field of characteristic p>3: We give a suffcient and necessary condition in terms of typical or atypical weights for restricted Kac modules to be simple. In the process, we also determine the socle for each restricted Kac module and the length for each simple restricted module.

Keywords

Restricted Lie superalgebras / Kac modules / simple restricted modules

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Higher Education Press