群上不变积分理论的沿袭

Q4 Mathematics

Geometry, Integrability and Quantization Pub Date : 2021-12-28 DOI:10.7546/giq-24-2022-1-37

T. Hirai

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引用次数: 0

摘要

从数学史的角度出发，从赫尔维茨关于李群上不变积分(或不变测度)的开创性工作开始，依次整理出具有划时代意义的著作，在赫尔维茨、舒尔、魏尔、哈尔、诺伊曼、Kakutani、Weil、Kakutani- kodaira等人对群上不变积分研究的众多贡献中，归纳出其中的主流，并解释了它们的内容，给出了它们之间的关系。

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Lineage of the Theory of Invariant Integrals on Groups

From the standpoint of the History of Mathematics, beginning with pioneering work of Hurwitz on invariant integrals (or invariant measures) on Lie groups, we pick up epoch-making works successively and draw the main stream among so many contributions to the study of invariant integrals on groups, due to Hurwitz, Schur, Weyl, Haar, Neumann, Kakutani, Weil, and Kakutani-Kodaira, and explain their contents and give the relationships among them.

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来源期刊

Geometry, Integrability and Quantization Mathematics-Mathematical Physics

CiteScore

0.70

自引率

0.00%

发文量