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.
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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.
69.95
Out Of Stock
5
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Almost-Bieberbach Groups: Affine and Polynomial Structures
262
Almost-Bieberbach Groups: Affine and Polynomial Structures
262
69.95
Out Of Stock
Product Details
ISBN-13: | 9783540618997 |
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Publisher: | Springer Berlin Heidelberg |
Publication date: | 12/05/1996 |
Series: | Lecture Notes in Mathematics , #1639 |
Edition description: | 1996 |
Pages: | 262 |
Product dimensions: | 8.50(w) x 10.98(h) x 0.02(d) |
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