Results 31 to 40 of about 833,719 (109)
Noncrossing partitions and representations of quivers [PDF]
, 2008 We situate the noncrossing partitions associated to a finite Coxeter group within the context of the representation theory of quivers. We describe Reading's bijection between noncrossing partitions and clusters in this context, and show that it extends ...
Assem +12 more
core +3 more sources
Noncrossing partitions and the shard intersection order [PDF]
, 2009 We define a new lattice structure on the elements of a finite Coxeter group W. This lattice, called the shard intersection order, is weaker than the weak order and has the noncrossing partition lattice NC(W) as a sublattice. The new construction of NC(W)
Reading, Nathan
core +5 more sources
A high-resolution summary of Cambrian to Early Triassic marine invertebrate biodiversity
Science, 2020 A finer record of biodiversity We have pressing, human-generated reasons to explore the influence of environmental change on biodiversity. Looking into the past can not only inform our understanding of this relationship but also help us to understand ...
Jun-xuan Fan +19 more
semanticscholar +1 more source
Geometric realizations of the accordion complex of a dissection [PDF]
, 2018 Consider $2n$ points on the unit circle and a reference dissection $\mathrm{D}_\circ$ of the convex hull of the odd points. The accordion complex of $\mathrm{D}_\circ$ is the simplicial complex of non-crossing subsets of the diagonals with even endpoints
Manneville, Thibault, Pilaud, Vincent
core +4 more sources
The equational theory of the weak Bruhat order on finite symmetric groups
Journal of the European Mathematical Society (Print), 2018 It is well-known that the weak Bruhat order on the symmetric group on a finite number n of letters is a lattice, denoted by P(n) and often called the permutohedron on n letters, of which the Tamari lattice A(n) is a lattice retract. The equational theory
L. Santocanale, F. Wehrung
semanticscholar +1 more source
Lattice congruences of the weak order [PDF]
, 2004 We study the congruence lattice of the poset of regions of a hyperplane arrangement, with particular emphasis on the weak order on a finite Coxeter group.
A. Björner +17 more
core +2 more sources
Brick polytopes, lattice quotients, and Hopf algebras [PDF]
, 2017 This paper is motivated by the interplay between the Tamari lattice, J.-L. Loday's realization of the associahedron, and J.-L. Loday and M. Ronco's Hopf algebra on binary trees.
Pilaud, Vincent
core +4 more sources
A comprehensive Cambrian correlation chart
, 2020 The International Subcommission on Cambrian Stratigraphy has introduced a number of internal subdivisions (i.e., series and stages), but most of the explanatory publications lack reliable data on the correlation between all Cambrian key continents.
G. Geyer
semanticscholar +1 more source
Sedimentology, EarlyView.ABSTRACT Understanding the biotic and abiotic influences on the deposition and diagenesis of recent microbial carbonates is crucial for addressing the environmental and ecological significance of ancient organosedimentary structures. This study investigates these factors and their expression in the microstructure of Holocene tufa thrombolites from a ...
Paulo Quezada +10 more
wiley +1 more source
A combinatorial approach to scattering diagrams [PDF]
, 2019 Scattering diagrams arose in the context of mirror symmetry, but a special class of scattering diagrams (the cluster scattering diagrams) were recently developed to prove key structural results on cluster algebras.
Reading, Nathan
core +3 more sources