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arXiv · 2211.15885

A Primer on Twists in the Noncommutative Realm Focusing on Algebra, Representation Theory, and Geometry

Pablo S. Ocal·Kenta Ueyama·Padmini Veerapen
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Abstract

We review several techniques that twist an algebra's multiplicative structure. We first consider twists by an automorphism, also known as Zhang twists, and we relate them to 2-cocycle twists of certain bialgebras. We then outline the classification and properties of twisted tensor products, and we examine twisted Segre products. Our exposition emphasizes clarity over generality, providing a wealth of interconnecting examples.

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Pablo S. Ocal, Kenta Ueyama, Padmini Veerapen. 2022-11-29. A Primer on Twists in the Noncommutative Realm Focusing on Algebra, Representation Theory, and Geometry. https://doi.org/10.1090/conm%2F801

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