Results 1 to 10 of about 29 (24)
On the Topology of the Cambrian Semilattices [PDF]
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 +12 more sources
Trimness of closed intervals in Cambrian semilattices [PDF]
In this article, we give a short algebraic proof that all closed intervals in a γ -Cambrian semilattice C γ
Henri Muhle
exaly +5 more sources
Combinatorics of Fuß-Catalan posets associated with reflection groups [PDF]
In dieser Dissertation untersuchen wir drei verschiedene Familien von geordneten Mengen: die m-Tamariverbände, die kambrischen Halbverbände und die Ordnungen der m-teilbaren nichtkreuzenden Partitionen.
Mühle, Henri
core
Structural Properties of the Cambrian Semilattices -- Consequences of Semidistributivity
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 ...
openaire +2 more sources
STRUCTURAL PROPERTIES OF THE CAMBRIAN SEMILATTICES -- CONSEQUENCES OF SEMIDISTRIBUTIVITY [PDF]
Henri Mühle
core
Some of the next articles are maybe not open access.
On the Topology of the Cambrian Semilattices
Springer INdAM Series, 2015Henri Muhle, Myrto Kallipoliti
exaly
A Categorical Duality for Semilattices and Lattices
Applied Categorical Structures, 2020Luciano Javier Gonzalez +2 more
exaly
A note on congruences of semilattices with sectionally finite height
Algebra Universalis, 2014Tommaso Moraschini +2 more
exaly

