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Clifford Theory for Semisimple G-Groups

โœ Scribed by J.P Lafuente; I Lizasoain; G Ochoa

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
108 KB
Volume
231
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

In this paper a Clifford theory for semisimple G-groups is developed, as a particular case of an abstract Clifford theory for G-functors.

๐Ÿ“œ SIMILAR VOLUMES

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โœ Alexandre Turull ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 209 KB

We describe in detail the Clifford theory for cyclic quotient groups. We pay particular attention to the field of definition of the characters involved, as well as their Schur indices.

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Clifford Theory for G-Functors
โœ J.P Lafuente; I Lizasoain; G Ochoa ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 114 KB

When does a G-functor admit a Clifford theory? In this paper we give a simple axiomatic property which characterizes the existence of such a theory. Satisfaction of this condition in the different contexts leads automatically to the satisfaction of the corresponding theorems of Clifford. We apply it

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Let G be a connected semisimple Lie group with finite center, and suppose G contains a compact Cartan subgroup T. Certain irreducible unitary representations of G arise as spaces of harmonic forms associated to Dolbeault cohomology of line bundles over the complex homogeneous space Gร‚T. In this work