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On restricted simple modules of contact Lie superalgebras of odd type

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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… Click to show full 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.

Keywords: lie superalgebras; odd type; restricted simple; superalgebras odd; simple modules; contact lie

Journal Title: Mathematische Nachrichten
Year Published: 2017

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