First eigenvalue of Laplace operator on locally symmetric space

DOI10.1007/s00209-014-1277-7zbMath1298.11045OpenAlexW1964950117MaRDI QIDQ2509920

Yufa Huang

Publication date: 31 July 2014

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

Full work available at URL: https://doi.org/10.1007/s00209-014-1277-7

zbMATH Keywords

Laplace operatorfirst eigenvaluelocally symmetric spaceautomorphic representationlow rank representationspherical unitary representation

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

• Singular unitary representations of classical groups
• On the congruence subgroup problem: Determination of the Metaplectic kernel
• Shimura and Shintani correspondences
• On some explicit formulas in the theory of Weil representation
• Reductive dual pair correspondence for complex groups
• Sur certains groupes d'opérateurs unitaires
• A Notion of Rank for Unitary Representations of General Linear Groups
• Automorphic forms with degenerate Fourier coefficients
• Invariant distributions on the \(n\)-fold metaplectic covers of \(GL(r,F)\), \(F\) \(p\)-adic
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