Results 91 to 100 of about 2,142 (221)
Floer theory for the variation operator of an isolated singularity
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analog for an isolated singularity. We define the monodromy Lagrangian Floer cohomology, which provides categorifications of the standard theorems on the variation operator and the ...
Hanwool Bae +3 more
wiley +1 more source
On conjugacy separability of some Coxeter groups and parabolic-preserving automorphisms
, 2013 We prove that even Coxeter groups, whose Coxeter diagrams contain no (4, 4, 2) triangles, are conjugacy separable. In particular, this applies to all right-angled Coxeter groups or word hyperbolic even Coxeter groups. For an arbitrary Coxeter group W, we
Caprace, Pierre-Emmanuel +1 more
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Lattice models, cylinder partition functions, and the affine coxeter element [PDF]
, 1998 The partition functions of the affine Pasquier models on the cylinder are calculated in the continuum limit. The partition functions of the models based upon the Â(_n) cycle graphs are first found from the appropriate Coulomb-gas equivalence.
Talbot, Robert Paul Thomas
core
Forum of Mathematics, SigmaWe initiate the study of a class of polytopes, which we coin polypositroids, defined to be those polytopes that are simultaneously generalized permutohedra (or polymatroids) and alcoved polytopes.
Thomas Lam, Alexander Postnikov
doaj +1 more source
Equivariant Hilbert and Ehrhart series under translative group actions
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study representations of finite groups on Stanley–Reisner rings of simplicial complexes and on lattice points in lattice polytopes. The framework of translative group actions allows us to use the theory of proper colorings of simplicial complexes without requiring an explicit coloring to be given.
Alessio D'Alì, Emanuele Delucchi
wiley +1 more source
Automorphisms of the generalized cluster complex
The American Journal of CombinatoricsWe exhibit a dihedral symmetry in the generalized cluster complex defined by Fomin and Reading. Together with diagram symmetries, they generate the automorphism group of the complex.
Matthieu Josuat-Vergès
doaj +1 more source
On Embeddability of Coxeter Groups into the Riordan Group
The American Mathematical MonthlyWe discuss examples of linear representations of finite groups as subgroups of the Riordan group. In particular, we show that the symmetric group of degree three has no faithful representation as a subgroup of the Riordan group over the complex numbers, but can be embedded as a subgroup of the Riordan group over a field of characteristic three.
Tian-Xiao He, Nikolai A. Krylov
openaire +2 more sources
On Bipartite Biregular Large Graphs Derived From Difference Sets
Journal of Graph Theory, Volume 110, Issue 2, Page 174-181, October 2025.ABSTRACT A bipartite graph G = ( V , E ) with V = V 1 ∪ V 2 is biregular if all the vertices of each stable set, V 1 and V 2, have the same degree, r and s, respectively. This paper studies difference sets derived from both Abelian and non‐Abelian groups.
Gabriela Araujo‐Pardo +3 more
wiley +1 more source
Representations of the Automorphism Group of a Right-Angled Coxeter Group [PDF]
, 2019 In 2009 Grunewald and Lubotzky published a paper in which they defined a family of linear representations of the automorphism group of a free group. In this dissertation, we will use their ideas to construct a family of linear representation of the ...
Morgan, Thomas
core
Reflection Representations of Coxeter Groups and Homology of Coxeter Graphs
, 2023 We study and classify a class of representations (called generalized geometric representations) of a Coxeter group of finite rank. These representations can be viewed as a natural generalization of the geometric representation.
Hu, Hongsheng
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