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June 2008 Local orbit types of s-representations for exceptional semisimple symmetric spaces
Kurando Baba
Author Affiliations +
SUT J. Math. 44(2): 307-328 (June 2008). DOI: 10.55937/sut/1234383522

Abstract

We investigate the local orbit types of hyperbolic or elliptic orbits of the linear isotropy representations of exceptional semisimple (pseudo-Riemannian) symmetric spaces in terms of the restricted root systems with respect to maximal split abelian subspace.

Acknowledgments

The author would like to express his sincere gratitude to Professor Naoyuki Koike for valuable discussions and suggestions. The author also thanks the referee for the valuable comments.

Citation

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Kurando Baba. "Local orbit types of s-representations for exceptional semisimple symmetric spaces." SUT J. Math. 44 (2) 307 - 328, June 2008. https://doi.org/10.55937/sut/1234383522

Information

Received: 16 November 2008; Published: June 2008
First available in Project Euclid: 18 June 2022

Digital Object Identifier: 10.55937/sut/1234383522

Subjects:
Primary: 53C35
Secondary: 57S20

Keywords: local orbit type , restricted root system , semisimple symmetric space , s-representation

Rights: Copyright © 2008 Tokyo University of Science

Vol.44 • No. 2 • June 2008
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