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On the zero weight ratios of exceptional compact Lie groups
https://kpu-m.repo.nii.ac.jp/records/2271
https://kpu-m.repo.nii.ac.jp/records/2271cbb9088b-8afa-4a2a-8cd4-52f3efedb5b3
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||||
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公開日 | 2019-06-11 | |||||||||||
タイトル | ||||||||||||
言語 | en | |||||||||||
タイトル | On the zero weight ratios of exceptional compact Lie groups | |||||||||||
言語 | ||||||||||||
言語 | eng | |||||||||||
資源タイプ | ||||||||||||
資源タイプ | departmental bulletin paper | |||||||||||
著者 |
長崎, 生光
× 長崎, 生光
WEKO
2736
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抄録 | ||||||||||||
内容記述タイプ | Abstract | |||||||||||
内容記述 | The zero weight ratio dG of a connected compact Lie group G with a maximal torus T is defined as the supremum of r(V) = dimV T / dim V for all nontrivial irreducible G-representations V . The zero weight ratio relates to a lower bound of the isovariant Borsuk-Ulam constant cG such as cG ≥ 1 − dG. In our previous research, we presented the value of dG for any simple compact Lie group; however, we omitted the detailed proof in some cases. In this article, we provide the proof for exceptional compact Lie groups. | |||||||||||
言語 | en | |||||||||||
書誌情報 |
en : Studia humana et naturalia 号 52, p. 63-75, 発行日 2019-03-29 |
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出版者 | ||||||||||||
出版者 | 京都府立医科大学医学部医学科(教養教育) | |||||||||||
ISSN | ||||||||||||
収録物識別子タイプ | ISSN | |||||||||||
収録物識別子 | 0385-6755 | |||||||||||
著者版フラグ | ||||||||||||
出版タイプ | VoR |