CHARACTERS OF STRONGLY GENERICIRREDUCIBLE LIE SUPERALGEBRAREPRESENTATIONSIvan
نویسنده
چکیده
An explicit character formula is established for any strongly generic nite-dimensional irreducible g-module, g being an arbitrary nite-dimensional complex Lie superalgebra. This character formula had been conjectured earlier by Vera Serganova and the author for any generic irreducible nite-dimensional g-module, i.e. such that its highest weight is far enough from the walls of the Weyl chambers.The condition of strong genericity, under which the conjecture is proved in this paper, is slightly stronger then genericity, but if in particular no simple component of g is isomorphic to psq(n) for n 3 or to H(2k + 1) for k 2, strong genericity is equivalent to genericity.
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