Adelaide Research & Scholarship
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https://hdl.handle.net/2440/111698
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| Type: | Journal article |
| Title: | The real K-theory of compact lie groups |
| Author: | Fok, C. |
| Citation: | Symmetry, Integrability and Geometry: Methods and Applications, 2014; 10:1-26 |
| Publisher: | Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine |
| Issue Date: | 2014 |
| ISSN: | 1815-0659 1815-0659 |
| Statement of Responsibility: | Chi-Kwong Fok |
| Abstract: | 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. |
| Keywords: | KR-theory; compact lie groups; real representations; real equivariant formality |
| Rights: | The authors retain the copyright for their papers published in SIGMA under the terms of the Creative Commons Attribution-ShareAlike License. |
| DOI: | 10.3842/SIGMA.2014.022 |
| Published version: | http://dx.doi.org/10.3842/sigma.2014.022 |
| Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
Files in This Item:
| File | Description | Size | Format | |
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| hdl_111698.pdf | Published version | 500.28 kB | Adobe PDF | View/Open |
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