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On restricted simple modules of contact Lie superalgebras of odd type
Author(s) -
Liu Wende,
Wang Shujuan,
Yuan Jixia
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600478
Subject(s) - mathematics , algebraically closed field , simple (philosophy) , type (biology) , pure mathematics , simple module , character (mathematics) , field (mathematics) , simple lie group , algebra over a field , lie superalgebra , lie algebra , affine lie algebra , geometry , current algebra , ecology , philosophy , epistemology , biology
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.