Periodic Modules and Quantum Groups
نویسندگان
چکیده
منابع مشابه
Periodic Flat Modules, and Flat Modules for Finite Groups
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We fix a base field k of characteristic not dividing l. We suppose that k contains a primitive l-th root of unity ζ , and fix it. Starting from these data, one defines certain category C. Its objects are finite dimensional X-graded k-vector spaces equipped with an action of Lusztig’s ”small” quantum group u (cf. [L2]) such that the action of its Cartan subalgebra is compatible with the X-gradin...
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Let U be either the universal enveloping algebra of a complex semisimple Lie algebra g or its Drinfel’d-Jimbo quantisation over the field C(z) of rational functions in the indeterminate z. We define the notion of “strongly multiplicity free” (smf) for a finite dimensional U-module V , and prove that for such modules the endomorphism algebras EndU (V ⊗r) are “generic” in the sense that they are ...
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2004
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-004-7005-3