Results 11 to 20 of about 17,624 (148)
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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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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The quantum states for Hydrogen atom: spherical harmonics and the orbitals geometrical representation [PDF]
INCAS BulletinOur work utilizes the quantum model of the hydrogen atom which is based on the Schrödinger equation with Coulomb potential. Specifically, we concentrate on the angular components of the wave eigenfunctions derived from this model. We consider the quantum
D. CONSTANTIN +5 more
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Tensor network approach to electromagnetic duality in (3+1)d topological gauge models
Journal of High Energy Physics, 2022 Given the Hamiltonian realisation of a topological (3+1)d gauge theory with finite group G, we consider a family of tensor network representations of its ground state subspace.
Clement Delcamp
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Chow groups and L-derivatives of automorphic motives for unitary groups, II.
Forum of Mathematics, Pi, 2022 In this article, we improve our main results from [LL21] in two directions: First, we allow ramified places in the CM extension $E/F$ at which we consider representations that are spherical with respect to a certain special maximal compact subgroup, by ...
Chao Li, Yifeng Liu
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Spherical unitary highest weight representations [PDF]
Transactions of the American Mathematical Society, 2001 Let \(G\) be a Lie group and \(H\) a closed subgroup. An irreducible unitary representation \((\pi ,{\mathcal H})\) of \(G\) is said to be \(H\)-spherical if \(({\mathcal H}^{-\infty })^H\not=\{O\}\), where \(({\mathcal H}^{-\infty })^H\) is the space of \(H\)-invariant distribution vectors, and then \(({\mathcal H}^{-\infty })^H\) is one dimensional ...
Krötz, Bernhard, Neeb, Karl-Hermann
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Formal degrees of genuine Iwahori-spherical representations
The Quarterly Journal of Mathematics, 2023 Abstract For irreducible genuine Iwahori-spherical discrete series representations of central covers, we verify the Hiraga–Ichino–Ikeda formula for their formal degrees.
Ping Dong, Fan Gao, Runze Wang
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Spherical subcategories in representation theory [PDF]
Mathematische Zeitschrift, 2018 We introduce a new invariant for triangulated categories: the poset of spherical subcategories ordered by inclusion. This yields several numerical invariants, like the cardinality and the height of the poset. We explicitly describe spherical subcategories and their poset structure for derived categories of certain finite-dimensional algebras.
Hochenegger A., Kalck M., Ploog D.
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Rigidity through a Projective Lens
Applied Sciences, 2021 In this paper, we offer an overview of a number of results on the static rigidity and infinitesimal rigidity of discrete structures which are embedded in projective geometric reasoning, representations, and transformations.
Anthony Nixon +2 more
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