Twisted Kähler differential forms

In this paper we construct a twisted analog of the differential graded algebra of Kahler differential forms on a commutative algebra (provided by an endomorphism α). This construction generalizes the work done in (Contemp. Math. 279 (2001) 177-193) for topological purposes. The main feature of this...

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Autores principales: Karoubi, M., Suarez-Alvarez, M.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00224049_v181_n2-3_p279_Karoubi
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Sumario:In this paper we construct a twisted analog of the differential graded algebra of Kahler differential forms on a commutative algebra (provided by an endomorphism α). This construction generalizes the work done in (Contemp. Math. 279 (2001) 177-193) for topological purposes. The main feature of this twisted analog is a braiding which is the substitute of the commutativity in the classical situation, in which α is the identity. We show also that the one dimensional difference calculus is a particular case of our construction. © 2003 Elsevier Science B.V. All rights reserved.