On simple modules for the restricted Lie superalgebra gl(m|n)
نویسندگان
چکیده
In this paper, we study the simple modules for the restricted Lie superalgebra gl(m|n). A condition for the simplicity of the induced modules is given, and an analogue of Kac-Weisfeiler theorem is proved. Mathematics Subject Classification (2000): 17B50; 17B10.
منابع مشابه
COMPOSITION FACTORS OF KAC-MODULES FOR THE GENERAL LINEAR LIE SUPERALGEBRA glm|n
The composition factors of Kac-modules for the general linear Lie superalgebra gl m|n is explicitly determined. In particular, a conjecture of Hughes, King and van der Jeugt in [J. Math. Phys., 41 (2000), 5064-5087] is proved.
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