Results 51 to 60 of about 290 (179)

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
wiley   +1 more source

Symmetry of the Pyritohedron and Lattices

Sultan Qaboos University Journal for Science, 2016
The pyritohedron consisting of twelve identical but non regular pentagonal faces and its dual pseudoicosahedron that possess the pyritohedral (Th) symmetry play an essential role in understanding the crystallographic structures with the pyritohedral ...
Nazife O. Koca, Aida Y. Al-Mukhaini, Mehmet Koca, Amal J. Al-Qanobi   +3 more
doaj   +1 more source

k-Parabolic Subspace Arrangements [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
In this paper, we study k-parabolic arrangements, a generalization of the k-equal arrangement for any finite real reflection group. When k=2, these arrangements correspond to the well-studied Coxeter arrangements.
Christopher Severs, Jacob White
doaj   +1 more source

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

Some remarks on the algebraic structure of the finite Coxeter group F4

International Journal of Mathematics and Mathematical Sciences, 1999
We consider in this paper the algebraic structure and some properties of the finite Coxeter group F4.
Muhammad A. Albar, Norah Al-Saleh
doaj   +1 more source

Subword Complexes and Nil-Hecke Moves

Моделирование и анализ информационных систем, 2013
For a finite Coxeter group W, a subword complex is a simplicial complex associated with a pair (Q, ρ), where Q is a word in the alphabet of simple reflections, ρ is a group element.
M. A. Gorsky
doaj   +1 more source

How to get the weak order out of a digraph ? [PDF]

Discrete Mathematics & Theoretical Computer Science, 2015
We construct a poset from a simple acyclic digraph together with a valuation on its vertices, and we compute the values of its Möbius function. We show that the weak order on Coxeter groups $A$$n-1$, $B$$n$, $Ã$$n$, and the flag weak order on the wreath ...
Francois Viard
doaj   +1 more source

Automorphisms of Coxeter groups [PDF]

Transactions of the American Mathematical Society, 2005
16 pages, no figures. Submitted to Trans. Amer.
openaire   +3 more sources

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

Linearized Coxeter higher-spin theories

Journal of High Energy Physics
A class of higher-spin gauge theories on AdS 4 associated with various Coxeter groups C $$ \mathcal{C} $$ is analyzed at the linear order. For a general C $$ \mathcal{C} $$ , a solution corresponding to the AdS 4 space and the form of the free unfolded ...
A. A. Tarusov, K. A. Ushakov, M. A. Vasiliev   +2 more
doaj   +1 more source