VOL. 82 | 2019 Moment map of the spin action and the Cartan-Münzner Polynomials
Chapter Author(s) Reiko Miyaoka
Editor(s) Toshihiro Shoda, Kazuhiro Shibuya
Adv. Stud. Pure Math., 2019: 1-11 (2019) DOI: 10.2969/aspm/08210001

Abstract

We describe the Cartan-Münzner polynomials of degree four on an $N$-dimensional Euclidean space by using the square norm of the moment map of certain group actions. In the case of OT-FKM type, the action is a spin action which is not necessarily transitive on isoprametric hypersurfaces.

Information

Published: 1 January 2019
First available in Project Euclid: 27 November 2019

zbMATH: 07270867

Digital Object Identifier: 10.2969/aspm/08210001

Subjects:
Primary: 53C40
Secondary: 53C24 , 53C30

Keywords: isoparametric hypersurfaces , moment map

Rights: Copyright © 2019 Mathematical Society of Japan

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