| ID | 64001 |
| FullText URL | |
| Author |
Morita, Jun
Institute of Mathematics, University of Tsukuba
Pianzola, Arturo
Department of Mathematical and Statistical Sciences, University of Alberta
Shibata, Taiki
Department of Applied Mathematics, Okayama University of Science
|
| Abstract | We provide explicit generators and relations for the affine Kac-Moody groups, as well as a realization of them as (twisted) loop groups by means of Galois descent considerations. As a consequence, we show that the affine Kac-Moody group of type X(r) N is isomorphic to the
fixed-point subgroup of the affine Kac-Moody group of type X(1) N under an action of the Galois group.
|
| Keywords | Affine Kac-Moody groups
Loop groups
Twisted Chevalley groups
|
| Note | Mathematics Subject Classification. Primary 20G44; Secondary 22E67.
|
| Published Date | 2023-01
|
| Publication Title |
Mathematical Journal of Okayama University
|
| Volume | volume65
|
| Issue | issue1
|
| Publisher | Department of Mathematics, Faculty of Science, Okayama University
|
| Start Page | 35
|
| End Page | 81
|
| ISSN | 0030-1566
|
| NCID | AA00723502
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| Content Type |
Journal Article
|
| language |
English
|
| Copyright Holders | Copyright ©2023 by the Editorial Board of Mathematical Journal of Okayama University
|
| File Version | publisher
|
| Refereed |
True
|
| Submission Path | mjou/vol65/iss1/3
|
