Boundary unitary representations-right-angled hyperbolic buildings

Uri Bader; Jan Dymara

doi:10.3934/jmd.2016.10.413

Boundary unitary representations-right-angled hyperbolic buildings

Uri Bader, Jan Dymara

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

Abstract

We study the unitary boundary representation of a strongly transitive group acting on a right-angled hyperbolic building. We show its irreducibility. We do so by associating to such a representation a representation of a certain Hecke algebra, which is a deformation of the classical representation of a hyperbolic reflection group. We show that the associated Hecke algebra representation is irreducible.

Original language	English
Pages (from-to)	413-437
Number of pages	25
Journal	Journal of Modern Dynamics
Volume	10
DOIs	https://doi.org/10.3934/jmd.2016.10.413
State	Published - 1 Jun 2016

Keywords

Hecke algebra
Hyperbolic building
Unitary representation

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Applied Mathematics

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10.3934/jmd.2016.10.413

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title = "Boundary unitary representations-right-angled hyperbolic buildings",

abstract = "We study the unitary boundary representation of a strongly transitive group acting on a right-angled hyperbolic building. We show its irreducibility. We do so by associating to such a representation a representation of a certain Hecke algebra, which is a deformation of the classical representation of a hyperbolic reflection group. We show that the associated Hecke algebra representation is irreducible.",

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AB - We study the unitary boundary representation of a strongly transitive group acting on a right-angled hyperbolic building. We show its irreducibility. We do so by associating to such a representation a representation of a certain Hecke algebra, which is a deformation of the classical representation of a hyperbolic reflection group. We show that the associated Hecke algebra representation is irreducible.

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KW - Unitary representation

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DO - 10.3934/jmd.2016.10.413

M3 - مقالة

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JO - Journal of Modern Dynamics

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Boundary unitary representations-right-angled hyperbolic buildings

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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