Simple restricted modules for the restricted contact Lie algebras
نویسندگان
چکیده
منابع مشابه
Simple Restricted Modules For the Restricted Contact Lie Algebras
It is shown that, with a few exceptions, the simple restricted modules for a restricted contact Lie algebra are induced from those for the homogeneous component of degree zero. In [3], Shen constructed the simple restricted modules for the restricted Witt, special and hamiltonian Lie algebras which comprise three of the four classes of restricted Lie algebras of Cartan type. His methods, howeve...
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The simple modules with homogeneous characters are considered, their dimension formulas are determined.
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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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According to [2], the finite-dimensional restricted simple Lie algebras over an algebraically closed field of characteristic p > 7 are either classical or of Cartan type. Lusztig has a conjecture (see [8, p. 294]) which provides a formula for the dimensions of the simple modules for the classical algebras. (In this paper, modules are assumed to be left, finitedimensional and restricted.) Anders...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1992
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1992-1112492-9