On Morita Equivalence for Simple Generalized Weyl Algebras
نویسندگان
چکیده
منابع مشابه
On Morita equivalence for simple Generalized Weyl algebras
We give a necessary condition for Morita equivalence of simple Generalized Weyl algebras of classical type. We propose a reformulation of Hodges’ result, which describes Morita equivalences in case the polynomial defining the Generalized Weyl algebra has degree 2, in terms of isomorphisms of quantum tori, inspired by similar considerations in noncommutative differential geometry. We study how f...
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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 c...
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ژورنال
عنوان ژورنال: Algebras and Representation Theory
سال: 2009
ISSN: 1386-923X,1572-9079
DOI: 10.1007/s10468-009-9138-5