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Twistors for modules over algebras

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Abstract

We study the concept of module twistor for a module over an algebra. This concept provides a unifying framework for various deformed constructions of modules over algebras, such as module R-matrices, (n-factor iterated) twisted tensor products and L-R-twisted tensor products of algebras. Among the main results, we find the relations among these constructions. Furthermore, we study some properties of module twistors.

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Authors and Affiliations

  1. Department of Mathematics, Shanghai University, Shanghai, 200444, China

    JianCai Sun

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  1. JianCai Sun
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Correspondence to JianCai Sun.

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Sun, J. Twistors for modules over algebras. Sci. China Math. 59, 1327–1344 (2016). https://doi.org/10.1007/s11425-016-5129-2

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  • DOI: https://doi.org/10.1007/s11425-016-5129-2

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