Spectral Analysis Near Regular Point of Reducibility and Representations of Coxeter Groups

Michael I. Stessin

doi:10.1007/s11785-022-01244-5

Spectral Analysis Near Regular Point of Reducibility and Representations of Coxeter Groups

Michael I. Stessin

Mathematics and Statistics

University at Albany

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

For a tuple of square matrices A1, An the determinantal hypersurface is defined as (formula presented) In this paper we develop a local spectral analysis near a regular point of reducibility of a determinantal hypersurface.We prove a rigidity type theorem for representations of Coxeter groups as an application.

Original language	English
Title of host publication	Multivariable Operator Theory
Subtitle of host publication	the Jörg Eschmeier Memorial Volume
Publisher	Springer Nature
Pages	769-798
Number of pages	30
ISBN (Electronic)	9783031505355
ISBN (Print)	9783031505348
DOIs	https://doi.org/10.1007/s11785-022-01244-5
State	Published - Jan 1 2023

Keywords

Coxeter groups
Detarminantal manifold
Projective joint spectrum
Representations of coxeter groups

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10.1007/s11785-022-01244-5

Cite this

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abstract = "For a tuple of square matrices A1, An the determinantal hypersurface is defined as (formula presented) In this paper we develop a local spectral analysis near a regular point of reducibility of a determinantal hypersurface.We prove a rigidity type theorem for representations of Coxeter groups as an application.",

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KW - Detarminantal manifold

KW - Projective joint spectrum

KW - Representations of coxeter groups

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ER -

Spectral Analysis Near Regular Point of Reducibility and Representations of Coxeter Groups

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