Name: almost-bieberbach groups: affine and polynomial structures
SKU: 3486214
Price: 1800.00 TWD
Availability: InStock
Author: dekimpe
ISBN: 9783540618997

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portada almost-bieberbach groups: affine and polynomial structures

almost-bieberbach groups: affine and polynomial structures

Type

Physical Book

Publisher

Springer

Author

dekimpe

Language

English

Pages

259

ISBN

3540618996

ISBN13

9783540618997

Synopsis "almost-bieberbach groups: affine and polynomial structures"

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.