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リー群・表現論・分岐則（北川 宜稔）
Showing the original Japanese · View translation
リー群の表現の分岐則を代数的に調べる研究室。
AboutAbout the lab
群の表現を、部分群に制限して調べる。
北川 宜稔准教授は、
分岐則は、
リー環の
Key terms
- リー群
- 回転のように、
連続的に 変えられる 対称性を まとめた群。 数学の 対象の 一つ - 表現論
- 群の
元を 行列などの 線形変換と して 表し、 群の 性質を 調べる 分野 - 分岐則
- 群の
表現を 部分群に 制限した とき、 どんな 表現に 分かれるかを 述べる 規則 - 加群
- 代数が
作用する、 ベクトル空間を 一般化した 対象。 表現を 代数の 言葉で 扱う ときに 使う
ResearchResearch themes
この
*Illustrative image加群のカルタン部分環
リー環 g の
*Illustrative image基本アフィン空間上のD加群
半単純な
*Illustrative image既約加群の構成と分岐則
簡約リー環の
MembersFaculty
- Associate Professor北川 宜稔
VoicesStudent voices
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to リー群・表現論・分岐則（北川 宜稔）
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〈最適化・数理計画〉マス・フォア・インダストリ研究所 先端最適化・量子数理研究部門最適化・数理計画・連続最適化。
最適化・数理計画The information on this page is compiled by the LabLog team from the lab's public information and interviews. For corrections or removal requests, please contact LabLog, not the lab.
Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Representation of SU(3)” Arkadipta Sarkar at English Wikipedia / CC BY-SA 3.0 (cropped)
- 加群の
カルタン部分環: “Kaleidoscope-abc” Koperczak / CC BY 3.0 (cropped) - 基本アフィン空間上の
D加群: “Affine-line-over-finite-filed-on-torus” GruenerBogen / CC BY-SA 4.0 (cropped) - 既約加群の
構成と 分岐則: “Snowy tree branch” Rosendahl / Public domain (cropped) - Related lab (〈リー群・
表現論・分岐則〉): “Ho-Mg-Zn E8-5Cube” Materialscientist (original image) Jgmoxness (derivative work) / CC BY-SA 3.0 (cropped) - Related lab (〈ソーシャル数理・計算代数〉): “Mathics screenshot” Wikideas1 / CC0 (cropped)
- Related lab (〈最適化・数理計画〉): “Optimization Problem 2” Musical Inquisit / CC BY-SA 4.0 (cropped)
- Related lab (最適化・数理計画
（脇 隼人） ): “S asdf rot” Trabandt / CC0 (cropped)
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