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The Real K-Theory of Compact Lie Groups

Let G be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution σG and viewed as a G-space with the conjugation action. In this paper, we present a description of the ring structure of the (equivariant) KR-theory of (G,σG) by drawing on previous results on the mod...

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Main Author: Chi-Kwong Fok
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146832
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spelling irk-123456789-1468322019-02-12T01:23:27Z The Real K-Theory of Compact Lie Groups Chi-Kwong Fok Let G be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution σG and viewed as a G-space with the conjugation action. In this paper, we present a description of the ring structure of the (equivariant) KR-theory of (G,σG) by drawing on previous results on the module structure of the KR-theory and the ring structure of the equivariant K-theory. 2014 Article The Real K-Theory of Compact Lie Groups / Chi-Kwong Fok // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 15 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 19L47; 57T10 DOI:10.3842/SIGMA.2014.022 http://dspace.nbuv.gov.ua/handle/123456789/146832 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description Let G be a compact, connected, and simply-connected Lie group, equipped with a Lie group involution σG and viewed as a G-space with the conjugation action. In this paper, we present a description of the ring structure of the (equivariant) KR-theory of (G,σG) by drawing on previous results on the module structure of the KR-theory and the ring structure of the equivariant K-theory.
format Article
author Chi-Kwong Fok
spellingShingle Chi-Kwong Fok
The Real K-Theory of Compact Lie Groups
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Chi-Kwong Fok
author_sort Chi-Kwong Fok
title The Real K-Theory of Compact Lie Groups
title_short The Real K-Theory of Compact Lie Groups
title_full The Real K-Theory of Compact Lie Groups
title_fullStr The Real K-Theory of Compact Lie Groups
title_full_unstemmed The Real K-Theory of Compact Lie Groups
title_sort real k-theory of compact lie groups
publisher Інститут математики НАН України
publishDate 2014
url http://dspace.nbuv.gov.ua/handle/123456789/146832
citation_txt The Real K-Theory of Compact Lie Groups / Chi-Kwong Fok // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 15 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT chikwongfok therealktheoryofcompactliegroups
AT chikwongfok realktheoryofcompactliegroups
first_indexed 2023-05-20T17:25:45Z
last_indexed 2023-05-20T17:25:45Z
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