Results 1 to 10 of about 49 (36)
On the Topology of the Cambrian Semilattices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 For an arbitrary Coxeter group $W$, David Speyer and Nathan Reading defined Cambrian semilattices $C_{\gamma}$ as certain sub-semilattices of the weak order on $W$.
Myrto Kallipoliti, Henri Mühle
doaj +16 more sources
Trimness of closed intervals in Cambrian semilattices [PDF]
Comptes Rendus Mathematique, 2016 In this article, we give a short algebraic proof that all closed intervals in a γ -Cambrian semilattice C γ
Henri Mühle
exaly +7 more sources
Structural Properties of the Cambrian Semilattices -- Consequences of Semidistributivity [PDF]
, 2013 The $γ$-Cambrian semilattices $\mathcal{C}_γ$ defined by Reading and Speyer are a family of meet-semilattices associated with a Coxeter group $W$ and a Coxeter element $γ\in W$, and they are lattices if and only if $W$ is finite. In the case where $W$ is the symmetric group $\mathfrak{S}_{n}$ and $γ$ is the long cycle $(1\;2\;\ldots\;n)$ the ...
Mühle, Henri
openaire +3 more sources
Lattice theory of torsion classes [PDF]
, 2018 The aim of this paper is to establish a lattice theoretical framework to study the partially ordered set $\operatorname{\mathsf{tors}} A$ of torsion classes over a finite-dimensional algebra $A$.
Demonet, Laurent +4 more
core +2 more sources
Stack-Sorting for Coxeter Groups
, 2021 Given an essential semilattice congruence $\equiv$ on the left weak order of a Coxeter group $W$, we define the Coxeter stack-sorting operator ${\bf S}_\equiv:W\to W$ by ${\bf S}_\equiv(w)=w\left(\pi_\downarrow^\equiv(w)\right)^{-1}$, where $\pi_ ...
Defant, Colin
core +1 more source
Lattice structure of torsion classes for path algebras [PDF]
, 2015 We consider module categories of path algebras of connected acyclic quivers. It is shown in this paper that the set of functorially finite torsion classes form a lattice if and only if the quiver is either Dynkin quiver of type A, D, E, or the quiver has
Iyama, Osamu +3 more
core +2 more sources
A survey of congruences and quotients of partially ordered sets [PDF]
, 2023 The literature on congruences and quotients of partially ordered sets contains a large and profilerating array of approaches, but little in the way of systematic exposition and examination of the subject.
Williams, Nicholas J.
core
On idempotent n-ary semigroups [PDF]
, 2020 This thesis, which consists of two parts, focuses on characterizations and descriptions of classes of idempotent n-ary semigroups where n >= 2 is an integer.
Devillet, Jimmy
core
, 2022 This paper introduces a partial order on the maximal chains of any finite bounded poset $P$ which has a CL-labeling $\lambda$. We call this the maximal chain descent order induced by $\lambda$, denoted $P_{\lambda}(2)$. As a first example, letting $P$ be
Lacina, Stephen
core
, 2023 The $(m,n)$-multiplihedron is a polytope whose faces correspond to $m$-painted $n$-trees, and whose oriented skeleton is the Hasse diagram of the rotation lattice on binary $m$-painted $n$-trees.
Pilaud, Vincent, Poliakova, Daria
core