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表現論・調和解析
Showing the original Japanese · View translation
群などが作用する集合の不変なものを様々な立場から調べる研究分野。
AboutAbout the lab
作用で不変なものを、様々な立場から調べる。
表現論・調和解析分野は、
集合が
代数学だけではなく、
数理学研究院、
Key terms
- 作用
- 群などの
代数系の 元が、 集合の 点を 別の 点に 移すは たらき - 不変
- 作用を
加えても 変わらない こと。 この 分野では 不変な ものを 調べる - 分岐則
- 群の
表現を 部分群に 制限した とき、 どのような 振る 舞いを するかを 調べる 問題
ResearchResearch themes
群などの
*Illustrative image作用で不変なものを調べる
群などの
*Illustrative image保型形式と表現論
今野 拓也 准教授は、
*Illustrative imageリー群の表現の分岐則
北川 宜稔 准教授は、
*Illustrative image環の表現論とホモロジー代数
埴原 紀宏 助教は、
MembersFaculty
- Professor翁 林
- Professor落合 啓之
- Professor権 寧魯
- Professor富安 亮子
- Associate Professor北川 宜稔
- Associate Professor今野 拓也
- Associate Professor森田 陽介
- Assistant Professor埴原 紀宏
- Assistant Professor山岸 亮
VoicesStudent voices
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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: “Worm's-eye view of Tokyo Skytree with vertical symmetry impression, a sunny day, in Japan” Basile Morin / CC BY-SA 4.0 (cropped)
- 作用で
不変な ものを 調べる : “Rubik's cube, CN II” kaʁstn Disk/Cat / CC BY-SA 3.0 (cropped) - 保型形式と
表現論: “Representation of SU(3)” Arkadipta Sarkar at English Wikipedia / CC BY-SA 3.0 (cropped) - リー群の
表現の 分岐則: “Weights for A2 root system” Mathphysman / CC BY-SA 4.0 (cropped) - 環の
表現論と ホモロジー代数: “Constantsheaf intermediate step” Jakob.scholbach (talk) / Public domain (cropped) - Related lab (トポロジー): “Klein bottle green” Aizenr / CC BY-SA 4.0 (cropped)
- Related lab
(作用素論・作用素環論): “Commutative Diagram 2” Yoelpiccolo31 / CC BY-SA 4.0 (cropped) - Related lab (代数幾何): “Heike Kamerlingh Onnes - 29 - Plaster model of a Ψ surface of a mixture of two substances” 作者不詳 / Public domain (cropped)
- Related lab (数論): “SinRiemannSiegelTheta” Chrgue / CC BY-SA 3.0 (cropped)
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