The Real K-Theory of Compact Lie Groups

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2014
• Main Author: Chi-Kwong Fok
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146832
• 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.

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...