Reading's" shard intersection order" on the symmetric group can be realized as the" lattice of
wide subcategories" of the corresponding preprojective algebra. In this paper, we first use …

arXiv:2302.12217v2 [math.RT] 19 Apr 2023 Page 1 arXiv:2302.12217v2 [math.RT] 19 Apr
2023 A GEOMETRIC PERSPECTIVE ON THE τ-CLUSTER MORPHISM CATEGORY SIBYLLE …

Let A be a finite-dimensional gentle algebra over an algebraically closed field. We
investigate the combinatorial properties of support τ-tilting graph of A. In particular, it is …

We generalise $\tau $-cluster morphism categories to non-positive proper dg algebras. The
compatibility of silting reduction with support $\tau $-tilting reduction will be an essential …

Let $\mathcal {C} $ be an extriangulated category and let $\mathcal {R}\subseteq\mathcal
{C} $ be a rigid subcategory. Generalizing Iyama--Yang silting reduction, we devise a …

In this paper the notion of an admissible partition of a simplicial polyhedral fan is introduced
and the category of a partitioned fan is defined as a generalisation of the τ τ‐cluster …

We take a novel lattice-theoretic approach to the $\tau $-cluster morphism category
$\mathfrak {T}(A) $ of a finite-dimensional algebra $ A $ and define the category via the …

Abstract Recently, Buan and Marsh showed that if two complete τ-exceptional sequences
agree in all but at most one term, then they must agree everywhere, provided the algebra is τ …

We establish some properties of $\tau $-exceptional sequences for finite-dimensional
algebras. In an earlier paper, we established a bijection between the set of ordered support …

We study thick subcategories of the category of 2-term complexes of projective modules over
an associative algebra. We show that those thick subcategories that have enough injectives …