Twisted calculus |
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Authors: | Bernard Le Stum |
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Affiliation: | IRMAR, Université de Rennes I, Campus de Beaulieu, Rennes Cedex, France |
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Abstract: | A twisted ring is a ring endowed with a family of endomorphisms satisfying certain relations. One may then consider the notions of twisted module and twisted differential module. We study them and show that, under some general hypothesis, the categories of twisted modules and integrable twisted differential modules are equivalent. As particular cases, one recovers classical results from the theory of finite difference equations or q-difference equations. |
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Keywords: | q-Analogues of differential operators twisted derivations twisted differential algebras twisted Weyl algebras |
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