Tohoku Mathematical Journal
2018

December
SECOND SERIES VOL. 70, NO. 4

Tohoku Math. J.
70 (2018), 547-565

Title $\sigma$-ACTIONS AND SYMMETRIC TRIADS

Author Osamu Ikawa

(Received November 9, 2015, revised May 19, 2016)
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.

Mathematics Subject Classification. Primary 53C35; Secondary 57S15.

Key words and phrases. Symmetric triad, $\sigma$-action, hyperpolar action, Hermann action.

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