On restricted simple modules of contact Lie superalgebras of odd type

Wende Liu, Shujuan Wang and Jixia Yuan

Mathematische Nachrichten, 2017, vol. 290, issue 17-18, 2934-2947

Abstract: For contact Lie superalgebras of odd type over an algebraically closed field of characteristic p>3, the composition factors of Kac modules and the character formulas for all the restricted simple modules are explicitly determined. And the dimensions of simple modules in the restricted supermodule category are precisely calculated, thereby dimensions of all the restricted simple modules are given.

Date: 2017
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