Hilbert-Poincaré series for spaces of commuting elements in Lie groups

DOI10.1007/s00209-018-2122-1zbMath1416.22023arXiv1704.05793OpenAlexW3102457817WikidataQ115388736 ScholiaQ115388736MaRDI QIDQ2633152

Mentor Stafa, Daniel A. Ramras

Publication date: 8 May 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.05793

zbMATH Keywords

finite reflection grouprepresentation spaceHilbert-Poincaré seriescharacteristic degree

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Homology and cohomology of Lie groups (57T10) Lie groups (22E99) Singular homology and cohomology theory (55N10)

Related Items

Cohomology of the spaces of commuting elements in Lie groups of rank two ⋮ Poincaré series of character varieties for nilpotent groups ⋮ Nilpotent n-tuples in SU(2) ⋮ Spaces of commuting elements in the classical groups

Cites Work

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• The space of commuting \(n\)-tuples in \(SU(2)\)
• Commuting tuples in reductive groups and their maximal compact subgroups.
• On the fundamental group of Hom\(({\mathbb Z}^k,G)\)
• On decomposing suspensions of simplicial spaces
• A note on nilpotent representations
• Toroidal compactification without vector structure
• Regular elements of finite reflection groups
• On the cohomology of compact Lie groups
• The topology of nilpotent representations in reductive groups and their maximal compact subgroups.
• Commuting elements and spaces of homomorphisms
• Cosimplicial groups and spaces of homomorphisms
• Poincaré series of character varieties for nilpotent groups
• Cohomology of the space of commuting \(n\)-tuples in a compact Lie group
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• On the Pontryagin product in spaces of paths
• Introduction to complex reflection groups and their braid groups.
• Equivariant K -theory of compact Lie group actions with maximal rank isotropy
• Almost commuting elements in compact Lie groups
• A Survey on Spaces of Homomorphisms to Lie Groups
• On spaces of commuting elements in Lie groups
• Fundamental groups of commuting elements in Lie groups
• Finite Unitary Reflection Groups
• Invariants of Finite Groups Generated by Reflections