Shilov boundaries determine irreducible bounded symmetric domains

Alexandru Chirvasitu

doi:10.1090/proc/15485

Shilov boundaries determine irreducible bounded symmetric domains

Alexandru Chirvasitu

Mathematics

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

Abstract

We prove that irreducible symmetric domains are uniquely determined by the homotopy equivalence classes of their Shilov boundaries.

Original language	English
Pages (from-to)	3863-3872
Number of pages	10
Journal	Proceedings of the American Mathematical Society
Volume	149
Issue number	9
DOIs	https://doi.org/10.1090/proc/15485
State	Published - 2021

Keywords

Bounded symmetric domain
Homogeneous space
Homotopy equivalence
Shilov boundary
Symmetric space

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title = "Shilov boundaries determine irreducible bounded symmetric domains",

abstract = "We prove that irreducible symmetric domains are uniquely determined by the homotopy equivalence classes of their Shilov boundaries.",

keywords = "Bounded symmetric domain, Homogeneous space, Homotopy equivalence, Shilov boundary, Symmetric space",

author = "Alexandru Chirvasitu",

note = "Publisher Copyright: {\textcopyright} 2021 American Mathematical Society",

year = "2021",

doi = "10.1090/proc/15485",

language = "English",

volume = "149",

pages = "3863--3872",

journal = "Proceedings of the American Mathematical Society",

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AU - Chirvasitu, Alexandru

PY - 2021

Y1 - 2021

N2 - We prove that irreducible symmetric domains are uniquely determined by the homotopy equivalence classes of their Shilov boundaries.

AB - We prove that irreducible symmetric domains are uniquely determined by the homotopy equivalence classes of their Shilov boundaries.

KW - Bounded symmetric domain

KW - Homogeneous space

KW - Homotopy equivalence

KW - Shilov boundary

KW - Symmetric space

UR - https://www.scopus.com/pages/publications/85111189452

U2 - 10.1090/proc/15485

DO - 10.1090/proc/15485

M3 - Article

AN - SCOPUS:85111189452

SN - 0002-9939

VL - 149

SP - 3863

EP - 3872

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 9

ER -

Shilov boundaries determine irreducible bounded symmetric domains

Abstract

Keywords

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