L. Thibault

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20162021

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math.RT2021

Classification results for $n$ -hereditary monomial algebras

Mads Hustad Sandøy, Louis-Philippe Thibault

We classify $n$ -hereditary monomial algebras in three natural contexts: First, we give a classification of the $n$ -hereditary truncated path algebras. We show that they are exactly…

math.RT2020

Tilting objects in singularity categories and levelled mutations

Louis-Philippe Thibault

We show the existence of tilting objects in the singularity category $D_{Sg}^{gr} (e A e)$ associated to certain noetherian AS-regular algebras $A$ and id…

math.RT2016

Preprojective algebra structure on skew-group algebras

Louis-Philippe Thibault

We give a class of finite subgroups $G < S L (n, k)$ for which the skew-group algebra $k [x_{1}, \dots, x_{n}] # G$ does not admit the grading structure of a higher preprojective algebra. Na…

Classification results for n-hereditary monomial algebras

Tilting objects in singularity categories and levelled mutations

Preprojective algebra structure on skew-group algebras

Classification results for $n$ -hereditary monomial algebras