An Example of Bernstein Duality

Author: Jara P.   Jódar J.  

Publisher: Academic Press

ISSN: 0001-8708

Source: Advances in Mathematics, Vol.152, Iss.1, 2000-06, pp. : 1-27

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Abstract

We study local duality in a non-commutative framework which extends well known local dualities in commutative Gorenstein rings and in enveloping algebras of finite dimensional solvable Lie algebras. We show examples of non-commutative algebras having a local duality in our sense. In order to study these examples we will need a non-commutative version of Groebner bases. Copyright 2000 Academic Press.