Results 81 to 90 of about 2,142 (221)
Random Structures &Algorithms, Volume 67, Issue 4, December 2025.ABSTRACT A finite group G$$ G $$ is mixable if a product of random elements, each chosen independently from two options, can distribute uniformly on G$$ G $$. We present conditions and obstructions to mixability. We show that 2‐groups, the symmetric groups, the simple alternating groups, several matrix and sporadic simple groups, and most finite ...
Gideon Amir +3 more
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Coxeter submodular functions and deformations of Coxeter permutahedra
, 2021 © 2020 Elsevier Inc. We describe the cone of deformations of a Coxeter permutahedron, or equivalently, the nef cone of the toric variety associated to a Coxeter complex. This class of polytopes contains important families such as weight polytopes, signed
Ardila, Federico +3 more
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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
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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 $\
Kevin Dilks +2 more
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Combination of open covers with π1$\pi _1$‐constraints
Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 3886-3901, December 2025.Abstract Let G$G$ be a group and let F$\mathcal {F}$ be a family of subgroups of G$G$. The generalised Lusternik–Schnirelmann category catF(G)$\operatorname{cat}_\mathcal {F}(G)$ is the minimal cardinality of covers of BG$BG$ by open subsets with fundamental group in F$\mathcal {F}$.
Pietro Capovilla, Kevin Li, Clara Löh
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Cohomology of Coxeter groups and Artin groups [PDF]
Mathematical Research Letters, 2000 For an irreducible Coxeter system \((W,S)\), with the group \(W\) finite, the authors construct an explicit free resolution \((C_*,\delta_*)\) of the trivial \(\mathbb{Z}[W]\)-module \(\mathbb{Z}\). In dimension \(k\), \(C_k\) is the free \(\mathbb{Z}[W]\)-module on the flags of subsets of \(S\) of cardinality \(k\). If \(n\) is the rank of \(W\), then
DE CONCINI, Corrado, SALVETTI M.
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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
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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
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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
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Distributive coset graphs of finite coxeter groups
, 2003 Let W be a finite Coxeter group, W-J a parabolic subgroup of W and X-J the set of distinguished coset representatives of W-J in W equipped with the induced weak Bruhat ordering of W. All instances when X-J is a distributive lattice are known.
Röhrle, Gerhard, Pfeiffer, Götz
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