Open Access
2018 $\sigma$-actions and symmetric triads
Osamu Ikawa
Tohoku Math. J. (2) 70(4): 547-565 (2018). DOI: 10.2748/tmj/1546570825

Abstract

For a given compact connected Lie group and an involution on it, we can define a hyperpolar action. We study the orbit space and the properties of each orbit of the action. The result is a natural extension of maximal torus theory.

Citation

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Osamu Ikawa. "$\sigma$-actions and symmetric triads." Tohoku Math. J. (2) 70 (4) 547 - 565, 2018. https://doi.org/10.2748/tmj/1546570825

Information

Published: 2018
First available in Project Euclid: 4 January 2019

zbMATH: 07040976
MathSciNet: MR3896137
Digital Object Identifier: 10.2748/tmj/1546570825

Subjects:
Primary: 53C35
Secondary: 57S15

Keywords: $\sigma$-action , Hermann action , hyperpolar action , symmetric triad

Rights: Copyright © 2018 Tohoku University

Vol.70 • No. 4 • 2018
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