Results 11 to 20 of about 1,075 (101)
On the Wildness of Cambrian Lattices [PDF]
In this note, we investigate the representation type of the cambrian lattices and some other related lattices. The result is expressed as a very simple trichotomy. When the rank of the underlined Coxeter group is at most 2, the lattices are of finite representation type.
Chapoton, Frédéric, Rognerud, Baptiste
core +6 more sources
Revisions in exposition (partly in response to the suggestions of an anonymous referee) including many new figures. Also, Conjecture 1.4 and Theorem 1.5 are replaced by slightly more detailed statements. To appear in Adv. Math.
Nathan Reading
openaire +5 more sources
Towards m-Cambrian Lattices [PDF]
20 pages, 13 figures.
Kallipoliti, Myrto, Mühle, Henri
openaire +3 more sources
The Cambrian Hopf Algebra [PDF]
Cambrian trees are oriented and labeled trees which fulfill local conditions around each node generalizing the conditions for classical binary search trees.
G. Chatel, V. Pilaud
doaj +1 more source
Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Charles W. Diamond +3 more
wiley +1 more source
Generalized associahedra via brick polytopes [PDF]
We generalize the brick polytope of V. Pilaud and F. Santos to spherical subword complexes for finite Coxeter groups. This construction provides polytopal realizations for a certain class of subword complexes containing all cluster complexes of finite ...
Vincent Pilaud, Christian Stump
doaj +1 more source
EL-labelings and canonical spanning trees for subword complexes [PDF]
We describe edge labelings of the increasing flip graph of a subword complex on a finite Coxeter group, and study applications thereof. On the one hand, we show that they provide canonical spanning trees of the facet-ridge graph of the subword complex ...
Vincent Pilaud, Christian Stump
doaj +1 more source
Pop-Stack Operators for Torsion Classes and Cambrian Lattices
50 pages, 7 ...
Barnard, Emily +2 more
openaire +2 more sources
An analogue of distributivity for ungraded lattices [PDF]
In this paper, we define a property, trimness, for lattices. Trimness is a not-necessarily-graded generalization of distributivity; in particular, if a lattice is trim and graded, it is distributive.
Thomas, Hugh
core +4 more sources
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 semilattice quotients of the weak order on $W$ induced by certain semilattice homomorphisms.
Kallipoliti, Myrto, Mühle, Henri
core +5 more sources

