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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2014 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2014
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146832 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862620742392217600 |
|---|---|
| author | Chi-Kwong Fok |
| author_facet | Chi-Kwong Fok |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T13:23:30Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146832 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T13:23:30Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Chi-Kwong Fok 2019-02-11T16:43:30Z 2019-02-11T16:43:30Z 2014 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 https://nasplib.isofts.kiev.ua/handle/123456789/146832 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. The author would like to thank Professor Reyer Sjamaar for suggesting this problem, painstakingly
 proofreading the manuscript, his patient guidance and encouragement throughout the
 course of this project. He also thanks the referees for their critical comments, pointing out the relevance of the work [7] and a mistake in the definition of ϕ(dρ) in [9] to him. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications The Real K-Theory of Compact Lie Groups Article published earlier |
| spellingShingle | The Real K-Theory of Compact Lie Groups Chi-Kwong Fok |
| title | 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_short | The Real K-Theory of Compact Lie Groups |
| title_sort | real k-theory of compact lie groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146832 |
| work_keys_str_mv | AT chikwongfok therealktheoryofcompactliegroups AT chikwongfok realktheoryofcompactliegroups |