| ID | 64001 |
| フルテキストURL | |
| 著者 |
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
|
| 抄録 | 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.
|
| キーワード | Affine Kac-Moody groups
Loop groups
Twisted Chevalley groups
|
| 備考 | Mathematics Subject Classification. Primary 20G44; Secondary 22E67.
|
| 発行日 | 2023-01
|
| 出版物タイトル |
Mathematical Journal of Okayama University
|
| 巻 | 65巻
|
| 号 | 1号
|
| 出版者 | Department of Mathematics, Faculty of Science, Okayama University
|
| 開始ページ | 35
|
| 終了ページ | 81
|
| ISSN | 0030-1566
|
| NCID | AA00723502
|
| 資料タイプ |
学術雑誌論文
|
| 言語 |
英語
|
| 著作権者 | Copyright ©2023 by the Editorial Board of Mathematical Journal of Okayama University
|
| 論文のバージョン | publisher
|
| 査読 |
有り
|
| Submission Path | mjou/vol65/iss1/3
|
