Results 11 to 20 of about 20,351 (298)
Spherical orbits and representations of Uε(g) [PDF]
Transformation Groups, 2005 Let Ue(g) be the simply connected quantized enveloping algebra at roots of one associated to a finite dimensional complex simple Lie algebra g. The De Concini-Kac-Procesi conjecture on the dimension of the irreducible representations of Ue(g) is proved for the representations corresponding to the spherical conjugacy classes of the simply connected ...
CANTARINI, NICOLETTA +2 more
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Journal of Statistical Software, 2012 Clustering text documents is a fundamental task in modern data analysis, requiring approaches which perform well both in terms of solution quality and computational efficiency.
Kurt Hornik +3 more
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Direct Systems of Spherical Functions and Representations
Journal of Lie Theory, 2013 17 pages.
Dawson, Matthew +2 more
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Spherical Covariance Representations
Covariance representations are developed for the uniform distributions on the Euclidean spheres in terms of spherical gradients and Hessians. They are applied to derive a number of Sobolev type inequalities and to recover and refine the concentration of measure phenomenon, including second order concentration inequalities.
Bobkov, Sergey G., Duggal, Devraj
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On the distinction of Iwahori-spherical representations
, 2020 Let $E/F$ be a quadratic unramified extension of non-archimedean local fields and $\mathbb H$ a simply connected semisimple algebraic group defined and split over $F$. We establish general results (multiplicities, test vectors) on $\HH (F)$-distinguished Iwahori-spherical representations of $\HH (E)$.
Broussous, Paul
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On Sarnak’s Density Conjecture and Its Applications
Forum of Mathematics, Sigma, 2023 Sarnak’s density conjecture is an explicit bound on the multiplicities of nontempered representations in a sequence of cocompact congruence arithmetic lattices in a semisimple Lie group, which is motivated by the work of Sarnak and Xue ([58]).
Konstantin Golubev, Amitay Kamber
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Applied Sciences, 2022 Advances in next-generation sequencing have provided high-dimensional RNA-seq datasets, allowing the stratification of some tumor patients based on their transcriptomic profiles.
Jordy Bollon +8 more
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Spherical isotropy representations [PDF]
Publications Mathématiques de l'IHÉS, 1985 An old question of P. A. Smith considers a finite group G acting smoothly on a closed homotopy sphere \(\Sigma\) with \(\Sigma^ G\) consisting of precisely two points and asks whether the representations of G on the tangent spaces at the two fixed points are the same. This would be true, obviously, for a linear action on a sphere.
Petrie, Ted, Randall, John
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Comptes Rendus. Mathématique, 2023 For Iwahori-spherical representations of non-Archimedean general linear groups, Chan–Savin recently expressed the Whittaker functor as a restriction to an isotypic component of a finite Iwahori–Hecke algebra module.
Gurevich, Maxim
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Modelling realistic ballast shape to study the lateral pull behaviour using GPU computing [PDF]
EPJ Web of Conferences, 2021 The use of the Discrete Element Method to model engineering structures implementing granular materials has proven to be an efficient method to response under various behaviour conditions.
Nader François +4 more
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