Description
Book SynopsisPresents the proceedings of the virtual workshop on Computational Aspects of Discrete Subgroups of Lie Groups, held in June 2021. The major theme deals with a novel domain of computational algebra: the design, implementation, and application of algorithms based on matrix representation of groups and their geometric properties.
Table of Contents
- D. Gabai, R. Meyerhoff, N. Thurston, and A. Yarmola, Enumerating Kleinian groups
- W. A. de Graaf, Exploring Lie theory with GAP
- A. S. Detinko, D. L. Flannery, and A. Hulpke, Freeness and $S$-arithmeticity of rational Mobius groups
- J. Gilman, Computability models: Algebraic, topological and geometric algorithms
- W. M. Goldman, Compact components of planar surface group representations
- A. Hulpke, Proving infinite index for a subgroup of matrices
- M. Kapovich, Geometric algorithms for discreteness and faithfulness
- M. Kapovich, A. Detinko, and A. Kontorovich, List of problems on discrete subgroups of Lie groups and their computational aspects
- A. Mark, J. Paupert, and D. Polletta, Picard modular groups generated by complex reflections
- J. M. Riestenberg, Verifying the straight-and-spaced condition
- T. N. Venkataramana, Unipotent generators for arithmetic groups
