Mariano Su'arez-'Alvarez

collaborators

3 papers

math.KT2025

The action of the Nakayama automorphism of a Frobenius algebra on Hochschild cohomology

Mariano SuÃ¡rez-Ãlvarez

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.RT2024

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…

math.KT2024

On the derivations and automorphisms of the algebra $k ⟨ x, y ⟩ / (y x - x y - x^{N})$

Mariano SuÃ¡rez-Ãlvarez

We consider the algebra $A_{N} = k ⟨ x, y ⟩ / (y x - x y - x^{N})$ , with $k$ a field of characteristic zero and $N$ a positive integer. Our main result is a complete description of the…

The action of the Nakayama automorphism of a Frobenius algebra on Hochschild cohomology

The Hochschild cohomology and the Tamarkin-Tsygan calculus of gentle algebras

On the derivations and automorphisms of the algebra k⟨x,y⟩/(yx−xy−xN)

On the derivations and automorphisms of the algebra $k ⟨ x, y ⟩ / (y x - x y - x^{N})$