The starting point of this thesis was a question by Dieter Happel with the following
background. Let Q be a finite acyclic quiver (another word for directed graph) and K an …

The Tamari Lattice as it Arises in Quiver Representations Page 1 The Tamari Lattice as it
Arises in Quiver Representations Hugh Thomas Abstract In this chapter, we explain how the …

Path algebras from quivers are a fundamental class of algebras with wide applications. Yet it
is challenging to describe their universal properties since their underlying path semigroups …

From support 𝜏-tilting posets to algebras I Page 1 TRANSACTIONS OF THE AMERICAN
MATHEMATICAL SOCIETY Volume 377, Number 5, May 2024, Pages 3749–3766 https://doi.org/10.1090/tran/9137 …

The aim of this paper is to study a poset isomorphism between two support $\tau $-tilting
posets. We take several algebraic information from combinatorial properties of support $\tau …

Weak orders on symmetric groups and posets of support -tilting modules Page 1 International
Journal of Algebra and Computation Vol. 27, No. 5 (2017) 501–546 c© World Scientific …

For a basic, hereditary, finite dimensional algebra Λ over an algebraically closed field k we
consider the quiver \mathcalK\!_Λ of tilting modules and the subquivers of \mathcalK\!_Λ …

Happel and Unger reconstructed hereditary algebras from their posets of tilting modules.
Inspired by this result, we try removing the assumption to be hereditary. However, it would …

Tilting quivers for BB‐tilted algebras - Peng - 2023 - Bulletin of the London Mathematical
Society - Wiley Online Library Skip to Article Content Skip to Article Information London …

Abstract C. Ingalls and H. Thomas defined support tilting modules for path algebras. From τ τ-
tilting theory introduced by T. Adachi, O. Iyama and I. Reiten, a partial order on the set of …