Generalized Weyl algebras: category O and graded Morita equivalence
نویسنده
چکیده
We define an analogue of BGG category O for generalized Weyl algebras. We prove several properties that show that even when the dimension of the ground ring is greater than one, the (graded) representation theory still has the flavor of the infinite dimensional representation theory of semisimple lie algebras. We then apply these results to the strong graded Morita problem for GWAs and give a complete answer in the classical case.
منابع مشابه
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