Some new results on dimension datum

DOI10.1112/BLMS.12605arXiv2008.00378OpenAlexW3046340148MaRDI QIDQ6133378

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Publication date: 18 August 2023

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.00378

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Isospectrality (58J53)

Cites Work

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• On the dimension datum of a subgroup
• Spectral isolation of naturally reductive metrics on simple Lie groups
• Riemannian coverings and isospectral manifolds
• Compact isospectral sets of surfaces
• Determining representations from invariant dimensions
• Problems beyond endoscopy
• The standard Laplace operator
• Isospectral simply-connected homogeneous spaces and the spectral rigidity of group actions
• Relatively equivalent representations and isospectral Riemannian manifolds
• On the dimension datum of a subgroup and its application to isospectral manifolds
• A Compactness Result for Dimension Datum
• The Eigenvalue Spectrum as Moduli for Flat Tori

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