3 papers
math.KT2025
The action of the Nakayama automorphism of a Frobenius algebra on Hochschild cohomology
Mariano Suárez-Álvarez
We prove that the Nakayama automorphism of a Frobenius algebra acts trivially on the Hochschild cohomology of the algebra. As an application of this fact, we show how to construct…
math.KT2024
On the derivations and automorphisms of the algebra
Mariano Suárez-Álvarez
We consider the algebra , with a field of characteristic zero and a positive integer. Our main result is a complete description of the…
math.RT2023
The Hochschild cohomology and the Tamarkin-Tsygan calculus of gentle algebras
Cristian Chaparro, Sibylle Schroll, Andrea Solotar +1
The Tamarkin Tsygan calculus of a finite dimensional algebra is a differential calculus given by the comprehensive data of the Hochschild cohomology, its structure both as a graded…