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Vector fields on some class of complete symmetric varieties

Published online by Cambridge University Press:  22 January 2016

Yoshifumi Kato
Yoshifumi Kato*
Affiliation:
Department of Mathematical Engineering, Faculty of Engineering, Nagoya University Chikusa-ku, Nagoya 464, Japan
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In the previous papers [6], [7], we show that the set of an algebraic homogeneous space G/P fixed under the action of a maximal torus T can be canonically identified with the coset W1 = W/W1 of Weyl group W. We find a T invariant Zariski open set near each element w ∊ W1 and introduce a very nice local coordinate system such that we can express the maximal torus action explicitly. As a result, we become able to apply the study of J. B. Carrell and D. Lieberman [2], [3] to the space G/P and investigate the numerical properties of its characteristic classes and cycles.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 103 , October 1986 , pp. 85 - 94
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1986

References

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