Results 31 to 40 of about 3,662 (92)
A Note on Element Centralizers in Finite Coxeter Groups
, 2010 The normalizer $N_W(W_J)$ of a standard parabolic subgroup $W_J$ of a finite Coxeter group $W$ splits over the parabolic subgroup with complement $N_J$ consisting of certain minimal length coset representatives of $W_J$ in $W$. In this note we show that (
Konvalinka, Matjaž +2 more
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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
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The combinatorial invariance conjecture for parabolic Kazhdan-Lusztig polynomials of lower intervals
, 2018 The aim of this work is to prove a conjecture related to the Combinatorial Invariance Conjecture of Kazhdan-Lusztig polynomials, in the parabolic setting, for lower intervals in every arbitrary Coxeter group.
Marietti, Mario
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Embedding products of trees into higher rank
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We show that there exists a quasi‐isometric embedding of the product of n$n$ copies of HR2$\mathbb {H}_{\mathbb {R}}^2$ into any symmetric space of non‐compact type of rank n$n$, and there exists a bi‐Lipschitz embedding of the product of n$n$ copies of the 3‐regular tree T3$T_3$ into any thick Euclidean building of rank n$n$ with co‐compact ...
Oussama Bensaid, Thang Nguyen
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Global bases for Bosonic extensions of quantum unipotent coordinate rings
Proceedings of the London Mathematical Society, Volume 131, Issue 2, August 2025.Abstract In the paper, we establish the global basis theory for the bosonic extension Â$\widehat{\mathcal {A}}$ associated with an arbitrary symmetrizable generalized Cartan matrix. When Â$\widehat{\mathcal {A}}$ is of simply laced finite type, Â$\widehat{\mathcal {A}}$ is isomorphic to the quantum Grothendieck ring Kq(Cg0)$\mathcal {K}_q(\mathcal ...
Masaki Kashiwara +3 more
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Electrocatalytic CN Coupling: Advances in Urea Synthesis and Opportunities for Alternative Products
ChemSusChem, Volume 18, Issue 12, June 17, 2025.This review explores electrocatalytic urea synthesis via carbon–nitrogen (CN) coupling from CO2 and nitrogen species, specifically nitrate, nitrite, nitric oxide, and nitrogen gas. It discusses recent discoveries in catalyst design, reaction pathways, and detection methods. Future outlooks on industrial applications, alternative CN coupling products,
Parker Ballard‐Kyle +2 more
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The Shi variety corresponding to an affine Weyl group
Bulletin of the London Mathematical Society, Volume 57, Issue 3, Page 913-940, March 2025.Abstract Let W$W$ be an irreducible Weyl group and Wa$W_a$ its affine Weyl group. In this article we show that there exists a bijection between Wa$W_a$ and the integral points of an affine variety, denoted X̂Wa$\widehat{X}_{W_a}$, which we call the Shi variety of Wa$W_a$.
Nathan Chapelier‐Laget
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Abelian ideals in a Borel subalgebra of a complex simple Lie algebra
, 2001 Let g be a complex simple Lie algebra and b a fixed Borel subalgebra of g. We shall describe the abelian ideals of b in a uniform way, that is, independent of the classification of complex simple Lie algebras.Comment: 43 pages, LaTeX2e, youngtab ...
Suter, Ruedi
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Asymptotic behavior of word metrics on Coxeter groups.
Documenta Mathematica, 2011 We study the geometry of tessellation defined by the walls in the Moussong complex MW of a Coxeter group W . It is proved that geodesics in MW can be approximated by geodesic galleries of the tessellation.
G. A. Noskov
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Hurwitz numbers for reflection groups III: Uniform formulae
Journal of the London Mathematical Society, Volume 111, Issue 3, March 2025.Abstract We give uniform formulae for the number of full reflection factorizations of a parabolic quasi‐Coxeter element in a Weyl group or complex reflection group, generalizing the formula for the genus‐0 Hurwitz numbers. This paper is the culmination of a series of three.
Theo Douvropoulos +2 more
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