Almost-Bieberbach Groups: Affine and Polynomial Structures - Karel Dekimpe
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Starting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed. These are a natural generalization of the well known Bieberbach groups and many results about ordinary Bieberbach groups turn out to generalize to the almost-Bieberbach groups. Moreover, using affine representations, explicit cohomology computa ... Täielik kirjeldus
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Kirjeldus
Starting from basic knowledge of nilpotent (Lie) groups, an algebraic theory of almost-Bieberbach groups, the fundamental groups of infra-nilmanifolds, is developed. These are a natural generalization of the well known Bieberbach groups and many results about ordinary Bieberbach groups turn out to generalize to the almost-Bieberbach groups. Moreover, using affine representations, explicit cohomology computations can be carried out, or resulting in a classification of the almost-Bieberbach groups in low dimensions. The concept of a polynomial structure, an alternative for the affine structures that sometimes fail, is introduced.
Lisateave
| Autor | Karel Dekimpe |
|---|---|
| Kirjastaja | Springer Berlin Heidelberg |
| Series | Lecture Notes in Mathematics |
| Väljalaskeaasta | 1996 |
| Kaanetüüp | Pehme kaanega |
| EAN | 9783540618997 |