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組合せ論・表現論(岡田 聡一)
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組合せ論と表現論が交わるところで、数え上げの謎に挑む研究。

AboutAbout the lab
組合せ論と表現論の交わるところへ。
岡田聡一先生は、
組合せ論は
古典群の
修士の
Key terms
- 表現論
- 群などの
代数の 構造を、 行列 (線型変換)の 形で 実現して 調べる 数学 - Young図形
- 箱を
並べた形の 組合せ論的な 対象。 箱に 数字を 書き込んだ ものは Young盤と 呼ばれる - 平面分割
- 3次元Young図形とも
呼ばれる、 組合せ論から 生まれた 対象 - 交代符号行列
- 成分が
0・1・−1で、 いく つかの 条件を みたす行列 (alternating sign matrix)
ResearchResearch themes
組合せ論と
MembersFaculty
- Professor岡田 聡一
VoicesStudent voices
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Write a lab reviewAnonymous · Your draft is saved if you stopRelatedLabs similar to 組合せ論・表現論(岡田 聡一)
可換環論・環論・
表現論・
解析的整数論・代数的整数論
代数幾何・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: “Line in combinatorics” Tensorproduct / CC BY-SA 4.0 (cropped)
- 組合せ論的表現論と
数え上げ組合せ論: “Schur functions rectangular example” Zajj Daugherty. / CC BY-SA 3.0 (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) - Related lab (表現論・
無限可積分系 (林 孝宏) ): “Dynkin diagram Dn” Rogilbert / Public domain (cropped) - Related lab (解析的整数論・代数的整数論
(ヘンリク・バッハマン) ): “ZetaFunction” Gaussianer / Public domain (cropped) - Related lab (代数幾何・
表現論・ 無限可積分系・数理物理 (柳田 伸太郎) ): “Truncated icosahedron cherry model by George W. Hart” George W. Hart / CC BY-SA 4.0 (cropped)
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