Results 11 to 20 of about 200,479 (255)

Infinite-dimensional diffusions as limits of random walks on partitions [PDF]

open access: yes, 2008
The present paper originated from our previous study of the problem of harmonic analysis on the infinite symmetric group. This problem leads to a family {P_z} of probability measures, the z-measures, which depend on the complex parameter z.
A. Borodin   +22 more
core   +2 more sources

Equivariant properties of symmetric products [PDF]

open access: yes, 2017
The filtration on the infinite symmetric product of spheres by the number of factors provides a sequence of spectra between the sphere spectrum and the integral Eilenberg-Mac Lane spectrum.
Schwede, Stefan
core   +1 more source

Tensor models, Kronecker coefficients and permutation centralizer algebras

open access: yesJournal of High Energy Physics, 2017
We show that the counting of observables and correlators for a 3-index tensor model are organized by the structure of a family of permutation centralizer algebras.
Joseph Ben Geloun, Sanjaye Ramgoolam
doaj   +1 more source

Maximal subgroups of infinite symmetric groups.

open access: yesNotre Dame Journal of Formal Logic, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baumgartner, James E.   +2 more
openaire   +3 more sources

Permutation-based presentations for Brin's higher-dimensional Thompson groups $nV$ [PDF]

open access: yes, 2019
The higher-dimensional Thompson groups $nV$, for $n \geq 2$, were introduced by Brin in 2005. We provide new presentations for each of these infinite simple groups.
Quick, Martyn
core   +4 more sources

On the Affine Weyl group of type A˜n−1

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1987
We study in this paper the affine Weyl group of type A˜n−1, [1]. Coxeter [1] showed that this group is infinite. We see in Bourbaki [2] that A˜n−1 is a split extension of Sn, the symmetric group of degree n, by a group of translations and of lattice of ...
Muhammad A. Albar
doaj   +1 more source

Closed Hulls in Infinite Symmetric Groups [PDF]

open access: yesTransactions of the American Mathematical Society, 1973
Let Sym ⁡ M \operatorname {Sym} M be the symmetric group of an infinite set M M . What is the smallest subgroup of Sym ⁡ M \operatorname {Sym} M containing a given element if the subgroup is subject to the further condition that it is also the ...
openaire   +2 more sources

On the transverse Scalar Curvature of a Compact Sasaki Manifold

open access: yesComplex Manifolds, 2014
We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the ...
He Weiyong
doaj   +1 more source

Homogenous finitary symmetric groups [PDF]

open access: yesInternational Journal of Group Theory, 2015
We characterize strictly diagonal type of embeddings of finitary symmetric groups in terms of cardinality and the characteristic. Namely, we prove the following. Let kappa be an infinite cardinal. If G=underseti=1stackrelinftybigcupG i , where G i =
Otto‎. ‎H‎. Kegel   +1 more
doaj  

Orthogonal Polynomials of Compact Simple Lie Groups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2011
Recursive algebraic construction of two infinite families of polynomials in n variables is proposed as a uniform method applicable to every semisimple Lie group of rank n.
Maryna Nesterenko   +2 more
doaj   +1 more source

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