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Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups

Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups

We prove that a conditional expectation on a Kac algebra, under certain conditions, decomposes into a composition of two conditional expectations of a special type and gives rise to a compact quantum hypergroup connected to a quantum Gelfand pair.

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Bibliographic Details
Main Authors: Kalyuzhnyi, A.A., Chapovsky, Yu.A.
Format: Article
Language:English
Published: Інститут математики НАН України 2003
Series:Український математичний журнал
Subjects:
Статті
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/164379
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spelling irk-123456789-1643792020-02-10T01:26:39Z Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups Kalyuzhnyi, A.A. Chapovsky, Yu.A. Статті We prove that a conditional expectation on a Kac algebra, under certain conditions, decomposes into a composition of two conditional expectations of a special type and gives rise to a compact quantum hypergroup connected to a quantum Gelfand pair. Доведено, що умовне сподівання на алгебрі Каца, яке задовольняє певні умови, може бути розкладене в композицію двох умовних сподівань спеціального типу і породжує компактну квантову гіпергрупу, пов'язану з квантовою парою Гельфанда. 2003 Article Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups / A.A. Kalyuzhnyi, Yu.A. Chapovsky // Український математичний журнал. — 2003. — Т. 55, № 12. — С. 1669–1677. — Бібліогр.: 16 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/164379 517 en Український математичний журнал Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Статті
Статті
spellingShingle Статті
Статті
Kalyuzhnyi, A.A.
Chapovsky, Yu.A.
Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups
Український математичний журнал
description We prove that a conditional expectation on a Kac algebra, under certain conditions, decomposes into a composition of two conditional expectations of a special type and gives rise to a compact quantum hypergroup connected to a quantum Gelfand pair.
format Article
author Kalyuzhnyi, A.A.
Chapovsky, Yu.A.
author_facet Kalyuzhnyi, A.A.
Chapovsky, Yu.A.
author_sort Kalyuzhnyi, A.A.
title Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups
title_short Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups
title_full Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups
title_fullStr Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups
title_full_unstemmed Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups
title_sort factorization of conditional expectations on kac algebras and quantum double coset hypergroups
publisher Інститут математики НАН України
publishDate 2003
topic_facet Статті
url http://dspace.nbuv.gov.ua/handle/123456789/164379
citation_txt Factorization of Conditional Expectations on Kac Algebras and Quantum Double Coset Hypergroups / A.A. Kalyuzhnyi, Yu.A. Chapovsky // Український математичний журнал. — 2003. — Т. 55, № 12. — С. 1669–1677. — Бібліогр.: 16 назв. — англ.
series Український математичний журнал
work_keys_str_mv AT kalyuzhnyiaa factorizationofconditionalexpectationsonkacalgebrasandquantumdoublecosethypergroups
AT chapovskyyua factorizationofconditionalexpectationsonkacalgebrasandquantumdoublecosethypergroups
first_indexed 2023-10-18T22:13:03Z
last_indexed 2023-10-18T22:13:03Z
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