Some Simple Modules for the Restricted Cartan-type Lie Algebras
نویسندگان
چکیده
Every simple module having character height at most one for a restricted Cartantype Lie algebra g can be realized as a quotient of a module obtained by starting with a simple module S for the homogeneous component of degree zero in the natural grading of g, extending the action trivially to positive components and inducing up to g. It is shown that if S is not restricted, or if it is restricted and its maximal vector does not have exceptional weight, then the induced module is already simple.
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