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表現論・作用素環論（荒野 悠輝）
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非可換な空間の上の量子群を、作用素環から調べる研究。
AboutAbout the lab
非可換な空間の上の群を調べる。
荒野悠輝先生は、
作用素環は、
この
量子群の
Key terms
- 作用素環
- ヒルベルト
空間の 上の 有界な 線形作用素を 集めて、 足し算やかけ算が できるように した もの - 量子群
- 群の
考え方を 「非可換な 空間」に 広げた もの。 作用素環の 大事な 具体例に なる - テンソル圏
- 対象どうしを
「かけ合わせる」 操作を そなえた圏。 群の 表現全体が もつ構造を 一般化した もの - 部分因子環論
- 作用素環と
その 中に 含まれる 作用素環の 関係を 調べる 理論。 ガロア理論に 似た面を もつ
ResearchResearch themes
作用素環の
MembersFaculty
- Associate Professor荒野 悠輝
VoicesStudent voices
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可換環論・環論・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: “Mathematics lecture notes, Mathematical analysis, Linear algebra, Rostov-on-Don, Russia” Vyacheslav Argenberg / CC BY 4.0 (cropped)
- 量子群の
表現論と 作用の 分類: “A4 Cayley graph” נוצר על ידי משתמש:עוזי ו. / CC BY-SA 3.0 (cropped) - Related lab (表現論・
無限可積分系 （林 孝宏） ): “Dynkin diagram Dn” Rogilbert / Public domain (cropped) - Related lab (関数解析学・作用素環論
（植田 好道） ): “Mathematics lecture at the Helsinki University of Technology” Tungsten / Public domain (cropped) - Related lab (環論・
表現論 （塚本 真由） ): “Combined group axiom commutative diagram” Struoc / CC BY-SA 4.0 (cropped) - Related lab (可換環論・環論・
表現論 （高橋 亮） ): “Tensor product of algebras” Jakob.scholbach / CC BY-SA 4.0 (cropped)
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