Uq(sl(2)) Satisfies a Bernstein Duality |
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Authors: | U |
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Affiliation: | a Department of Algebra, University of Granada, 18071–Granada, Spain;b Department of Mathematics, University of Jaén, 23071–Jaén, Spain |
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Abstract: | It is well known that in some cases the functorExtRμ( − , R) defines a duality between module categories. In earlier papers we studied when this duality can be represented by a bimodule and have characterized when this happens. In this paper, using some computational methods of noncommutative Gröbner bases in the construction of projective resolutions of irreducible finite-dimensional representations, we show new examples of algebras satisfying this property. |
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