On finite group actions on reductive groups and buildings
β Scribed by Gopal Prasad; Jiu-Kang Yu
- Publisher
- Springer-Verlag
- Year
- 2002
- Tongue
- English
- Weight
- 198 KB
- Volume
- 147
- Category
- Article
- ISSN
- 0020-9910
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π SIMILAR VOLUMES
## Abstract The purpose of this paper is to generalize YalΓ§in's result [Trans. Amer. Math. Soc. **352**, 2689β2700 (2000)] from tori to solvmanifolds. As a result, we prove that if (β€~__p__~)^__r__^ acts freely on a solvmanifold __M__ of dimension __n__, then __r__ β€ __n__ (Β© 2010 WILEYβVCH Verlag
Using the invariant geometrical interpretation of gauge and Higgs fields, a simple derivation is given of the dimensional reduction procedure. The underlying assumption with regard to the Riemannian structure, group orbits and invariant connection are clarified and the critical points of the Higgs p