A Primer on Twists in the Noncommutative Realm Focusing on Algebra, Representation Theory, and Geometry
arXiv:2211.15885 · doi:10.1090/conm/801
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.
16 pages, expanded acknowledgements, added referee corrections