Crystallographic actions on Lie groups and post-Lie algebra structures

Author:

Burde Dietrich1

Affiliation:

1. Universität Wien , Fakultät für Mathematik , Oskar-Morgenstern-Platz 1, 1090 Wien , Austria

Abstract

Abstract This survey on crystallographic groups, geometric structures on Lie groups and associated algebraic structures is based on a lecture given in the Ostrava research seminar in 2017.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Reference55 articles.

1. [1] H. Abels, G. A. Margulis, G. A. Soifer: Properly discontinuous groups of affine transformations with orthogonal linear part. C. R. Acad. Sci. Paris 324 (253-258).

2. [2] H. Abels, G. A. Margulis, G. A. Soifer: The Auslander conjecture for groups leaving a form of signature (n − 2, 2) invariant. Israel J. Math. 148 (2005) 11–21.

3. [3] L. Auslander: The structure of complete locally affine manifolds. Topology 3 (1964) 131–139.

4. [4] L. Auslander: An Account of the Theory of Crystallographic Groups. Proceedings of the American Mathematical Society 16 (6) (1965) 1230–1236.

5. [5] L. Auslander: Simply transitive groups of affine motions. Amer. J. Math. 99 (4) (1977) 809–826.

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Post-Lie algebra structures for perfect Lie algebras;Communications in Algebra;2024-05-15

2. Rigidity results for Lie algebras admitting a post-Lie algebra structure;International Journal of Algebra and Computation;2022-10-11

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