Results 81 to 90 of about 21,830 (196)

The 𝐶-Version Segal-Bargmann Transform for Finite Coxeter Groups Defined by the Restriction Principle

Advances in Mathematical Physics, 2011
We apply a special case, the restriction principle (for which we give a definition simpler than the usual one), of a basic result in functional analysis (the polar decomposition of an operator) in order to define 𝐶𝜇,𝑡, the 𝐶-version of the Segal-Bargmann
Stephen Bruce Sontz
doaj   +1 more source

Spectra of graphs and the spectral criterion for property (T)

Electronic Journal of Graph Theory and Applications, 2017
For a finite connected graph $X$, we consider the graph $RX$ obtained from $X$ by associating a new vertex to every edge of $X$ and joining by edges the extremities of each edge of $X$ to the corresponding new vertex.
Alain Valette
doaj   +1 more source

Cells in Coxeter groups, I

Journal of Algebra, 2013
The purpose of this article is to shed new light on the combinatorial structure of Kazhdan-Lusztig cells in infinite Coxeter groups $W$. Our main focus is the set $\D$ of distinguished involutions in $W$, which was introduced by Lusztig in one of his first papers on cells in affine Weyl groups.
Belolipetsky, M, Gunnells, PE
openaire   +2 more sources

W‐algebras, Gaussian free fields, and g$\mathfrak {g}$‐Dotsenko–Fateev integrals

Proceedings of the London Mathematical Society, Volume 131, Issue 6, December 2025.
Abstract Based on the intrinsic connection between Gaussian free fields and the Heisenberg vertex algebra, we study some aspects of the correspondence between probability theory and W$W$‐algebras. This is first achieved by providing a construction of the W$W$‐algebra associated to a complex simple Lie algebra g$\mathfrak {g}$ by means of Gaussian free ...
Baptiste Cerclé
wiley   +1 more source

Decomposition of Polyharmonic Functions with Respect to the Complex Dunkl Laplacian

Journal of Inequalities and Applications, 2010
Let Ω be a G-invariant convex domain in ℂN including 0, where G is a complex Coxeter group associated with reduced root system R⊂ℝN. We consider holomorphic functions f defined in Ω which are Dunkl polyharmonic, that
Guangbin Ren, Helmuth R. Malonek
doaj   +1 more source

Affine descents and the Steinberg torus [PDF]

Discrete Mathematics & Theoretical Computer Science, 2008
Let $W \ltimes L$ be an irreducible affine Weyl group with Coxeter complex $\Sigma$, where $W$ denotes the associated finite Weyl group and $L$ the translation subgroup. The Steinberg torus is the Boolean cell complex obtained by taking the quotient of $\
Kevin Dilks, T. Kyle Petersen, John R. Stembridge   +2 more
doaj   +1 more source

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, Cheol‐Hyun Cho, Dongwook Choa, Wonbo Jeong   +3 more
wiley   +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

Polypositroids

Forum of Mathematics, Sigma
We 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

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, Cristina Dalfó, Miquel Àngel Fiol, Nacho López   +3 more
wiley   +1 more source