9 citations · 18 across the 10 of their papers we have counts for
4 papers · 1 filter
A Primer on Twists in the Noncommutative Realm Focusing on Algebra, Representation Theory, and Geometry
Pablo S. Ocal, Kenta Ueyama, Padmini Veerapen
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-cocy…
A dichotomy between twisted tensor products of bialgebras and Frobenius algebras
Pablo S. Ocal, Amrei Oswald
We endow twisted tensor products with a natural notion of counit and comultiplication, and we provide sufficient and necessary conditions making the twisted tensor product a counit…
Homotopy liftings and Hochschild cohomology of some twisted tensor products
Pablo S. Ocal, Tolulope Oke, Sarah Witherspoon
The Hochschild cohomology of a tensor product of algebras is isomorphic to a graded tensor product of Hochschild cohomology algebras, as a Gerstenhaber algebra. A similar result ho…
Gerstenhaber brackets on Hochschild cohomology of general twisted tensor products
Tekin Karadag, Dustin McPhate, Pablo S. Ocal +2
We present techniques for computing Gerstenhaber brackets on Hochschild cohomology of general twisted tensor product algebras. These techniques involve twisted tensor product resol…