The topology of Baumslag–Solitar representations

DOI10.1142/S1793525320500065zbMath1476.55033arXiv1902.04046OpenAlexW2919001950MaRDI QIDQ4997970

Lior Silberman, Maxime Bergeron

Publication date: 1 July 2021

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04046

zbMATH Keywords

solvable groupmaximal compact subgrouprepresentation varietyBaumslag-Solitar groupdeformation retractioncomplex reductive algebraic group

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Homotopy theory (55P99) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Representation theory of groups (20C99)

Cites Work

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• Commuting tuples in reductive groups and their maximal compact subgroups.
• A note on nilpotent representations
• Quasi-isometric rigidity for the solvable Baumslag-Solitar groups. II
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• Conjugacy classes of n-tuples in Lie algebras and algebraic groups
• The topology of nilpotent representations in reductive groups and their maximal compact subgroups.
• Varieties of representations of finitely generated groups
• Some two-generator one-relator non-Hopfian groups
• Irreducible representations of Baumslag–Solitar groups
• Linear algebraic groups.
• The large scale geometry of the higher Baumslag-Solitar groups

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