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The Real K-Theory of Compact Lie Groups
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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The Real K-Theory of Compact Lie Groups
Інший ID:
2010 Mathematics Subject Classification: 19L47; 57T10
DOI:10.3842/SIGMA.2014.022
DOI:10.3842/SIGMA.2014.022
Посилання:
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.
Підтримка:
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.
Дата:
2014
Переглядів:
510
Завантажень:
225
Анотація:
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.
