Simple Modules with Character Height at Most One for the Restricted Witt Algebras
نویسندگان
چکیده
The simple modules with character height at most one for the restricted Witt algebras are considered. Their classification, construction, and dimension formulas are reduced to the same for the general linear algebra. Results of Chang and Shen are recovered in the process.
منابع مشابه
Some Simple Modules for the Restricted Cartan-type Lie Algebras
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...
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