Conjectures on Reductive Homogeneous Spaces (Q6061119)

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scientific article; zbMATH DE number 7773760

Language	Label	Description	Also known as
English	Conjectures on Reductive Homogeneous Spaces	scientific article; zbMATH DE number 7773760

Statements

scholarly article

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Conjectures on Reductive Homogeneous Spaces (English)

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Toshiyuki Kobayashi

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Lecture Notes in Mathematics

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publication date

3 December 2023

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full work available at URL

https://arxiv.org/abs/2204.08854

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zbMATH Keywords

homogeneous spaces

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MaRDI profile type

MaRDI publication profile

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TEMPERED HOMOGENEOUS SPACES IV

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Relativistic space forms

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Plancherel formula for reductive symmetric spaces

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Nonstandard Lorentz space forms

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Linear independence of generalized Poincaré series for anti-De Sitter 3-manifolds

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Deformation of proper actions on reductive homogeneous spaces

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Poincaré series for non-Riemannian locally symmetric spaces

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Spectral analysis on pseudo-Riemannian locally symmetric spaces

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Proper action on a homogeneous space of reductive type

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Singular unitary representations and discrete series for indefinite Stiefel manifolds 𝑈(𝑝,𝑞;𝐹)/𝑈(𝑝-𝑚,𝑞;𝐹)

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Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications

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Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds

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Discrete series representations for the orbit spaces arising from two involutions of real reductive Lie groups

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Intrinsic Sound of Anti-de Sitter Manifolds

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Branching laws of unitary representations associated to minimal elliptic orbits for indefinite orthogonal group \(O(p,q)\)

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Finite multiplicity theorems for induction and restriction

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Compact Clifford-Klein forms of symmetric spaces -- revisited

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Proper actions and pseudo-Riemannian space forms

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Proof of Kobayashi's rank conjecture on Clifford-Klein forms

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Classification of semisimple symmetric spaces with proper \(\mathrm{SL}(2,\mathbb R)\)-actions

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Volume entropy of Hilbert metrics and length spectrum of Hitchin representations into \(\mathrm{PSL}(3,\mathbb{R})\)

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Classification of irreducible symmetric spaces which admit standard compact Clifford-Klein forms

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Identifiers

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10.1007/978-3-031-12244-6_17

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6061119

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