Results 121 to 130 of about 2,142 (221)

Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2013
A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle.
Micho Đurđevich, Stephen Bruce Sontz
doaj   +1 more source

Some cells in the weighted Coxeter group (C̃n,ℓ̃2n)

open access: yes, 2018
The affine Coxeter group ([Formula: see text]) can be realized as the fixed point set of the affine Coxeter group ([Formula: see text]) under a certain group automorphism [Formula: see text] with [Formula: see text].
Qian Huang
core   +1 more source

Semigroup presentations

open access: yes, 2012
In this thesis we consider in detail the following two fundamental problems for semigroup presentations: 1. Given a semigroup find a presentation defining it. 2. Given a presentation describe the semigroup defined by it.
Ruškuc, Nik
core  

Realism and the point at infinity: The end of the line? [PDF]

open access: yesSynthese, 2023
Parkinson-Coombs O, Núñez R.
europepmc   +1 more source

Liouville Theorem for Dunkl Polyharmonic Functions

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2008
Assume that $f$ is Dunkl polyharmonic in $mathbb{R}^n$ (i.e. $(Delta_h)^p f=0$ for some integer $p$, where $Delta_h$ is the Dunkl Laplacian associated to a root system $R$ and to a multiplicity function $kappa$, defined on $R$ and invariant with respect ...
Guangbin Ren, Liang Liu
doaj   +1 more source

Relative ends, L^2 invariants and Property (T)

open access: yes, 2010
We prove splitting theorems for groups with positive first L^2-betti number (denoted \beta^2_1) and verify Kropholler's conjecture for pairs of groups H \leq G satisfying \beta^2_1(G) > \beta^2_1(H).
Kar, Aditi   +6 more
core   +1 more source

A topological proof of the modified Euler characteristic based on the orbifold concept. [PDF]

open access: yesActa Crystallogr A Found Adv, 2021
Naskręcki B, Dauter Z, Jaskolski M.
europepmc   +1 more source

Commuting involution graphs for [(A)\tilde]n

open access: yes, 2006
In this article we consider the commuting graphs of involution conjugacy classes in the affine Weyl group A~n. We show that where the graph is connected the diameter is at most 6.
Hart, Sarah, Hart, Sarah B.
core   +1 more source

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