Mariano Su'arez-'Alvarez

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20232025

most citedThe Hochschild cohomology and the Tamarkin-Tsygan calculus of gentle algebras

1 citations · 1 across the 3 of their papers we have counts for

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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 $k ⟨ x, y ⟩ / (y x - x y - x^{N})$

Mariano Suárez-Álvarez

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

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

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