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40 papers · 1 filter
Morphisms and extensions between bricks over preprojective algebras of type A
Eric J. Hanson, Xinrui You
The bricks over preprojective algebras of type A are known to be in bijection with certain combinatorial objects called "arcs". In this paper, we show how one can use arcs to compu…
A uniqueness property of τ exceptional sequences
Eric J. Hanson, Hugh Thomas
Recently, Buan and Marsh showed that if two complete -exceptional sequences agree in all but at most one term, then they must agree everywhere, provided the algebra is -tilti…
Stratifying systems and Jordan-Hölder extriangulated categories
Thomas Brüstle, Souheila Hassoun, Amit Shah +1
Stratifying systems, which have been defined for module, triangulated and exact categories previously, were developed to produce examples of standardly stratified algebras. A strat…
Infinitesimal semi-invariant pictures and co-amalgamation
Eric J. Hanson, Kiyoshi Igusa, Moses Kim +1
The purpose of this paper is to study the local structure of the semi-invariant picture of a tame hereditary algebra near the null root. Using a construction that we call co-amalga…
The Gerstenhaber bracket and cycles in the module category of a monomial quadratic algebra
Juan Carlos Bustamante, Patrick LeMeur
We establish a link between the Gerstenhaber bracket in the Hochshild cohomology and the behaviour of cycles in the module category of a monomial quadratic algebra .
Positivity for quantum cluster algebras from unpunctured orbifolds
Min Huang
We give the quantum Laurent expansion formula for the quantum cluster algebras from unpunctured orbifolds with arbitrary coefficients and quantization. As an application, positivit…