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TWISTING OPERATORS, TWISTED TENSOR PRODUCTS AND SMASH PRODUCTS FOR HOM-ASSOCIATIVE ALGEBRAS

Part of: Hopf algebras, quantum groups and related topics Other nonassociative rings and algebras

Published online by Cambridge University Press:  21 July 2015

ABDENACER MAKHLOUF  and
FLORIN PANAITE
ABDENACER MAKHLOUF
Affiliation:
Université de Haute Alsace, Laboratoire de Mathématiques, Informatique et Applications, 4, Rue des Frères Lumière, F-68093 Mulhouse, France e-mail: Abdenacer.Makhlouf@uha.fr
FLORIN PANAITE
Affiliation:
Institute of Mathematics of the Romanian Academy, PO-Box 1-764, RO-014700 Bucharest, Romania e-mail: Florin.Panaite@imar.ro
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Abstract

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The purpose of this paper is to provide new constructions of Hom-associative algebras using Hom-analogues of certain operators called twistors and pseudotwistors, by deforming a given Hom-associative multiplication into a new Hom-associative multiplication. As examples, we introduce Hom-analogues of the twisted tensor product and smash product. Furthermore, we show that the construction by the twisting principle introduced by Yau and the twisting of associative algebras using pseudotwistors admit a common generalization.

MSC classification

Primary: 17D99: None of the above, but in this section
Secondary: 16T99: None of the above, but in this section
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 58 , Issue 3 , September 2016 , pp. 513 - 538
Copyright
Copyright © Glasgow Mathematical Journal Trust 2015 

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