The signature with local coefficients of locally symmetric spaces

DOI10.2748/tmj/1178228591zbMath0605.22009OpenAlexW1971166398MaRDI QIDQ1084193

Henri Moscovici

Publication date: 1985

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228591

zbMATH Keywords

discrete subgroupsemisimple Lie grouplocally symmetric spacesHermitian metriccohomology grouplocal systemsignature formulaCartan subgroupcomplex irreducible G-modulenonvanishing signature

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Local differential geometry of Hermitian and Kählerian structures (53B35) Cohomology of Lie (super)algebras (17B56)

Related Items (3)

Positivity of matrix coefficients of representations with real infinitesimal characters ⋮ \(L^ 2\)-index theorems on locally symmetric spaces ⋮ Lefschetz formulae for arithmetic varieties

Cites Work

• Unnamed Item
• \(L^ 2\)-cohomology of locally symmetric manifolds of finite volume
• \(L^ 2\)-index and the Selberg trace formula
• A dimension formula for a certain space of automorphic forms of \(\text{SU}(p,1)\)
• Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\)
• L//2 cohomology of warped products and arithmetic groups
• The index of elliptic operators. III
• Dirac operator and the discrete series
• Novikov's higher signature and families of elliptic operators
• Discrete Series Multiplicities in L 2 (Γ\G)
• 𝐿²-index of elliptic operators on locally symmetric spaces of finite volume

This page was built for publication: The signature with local coefficients of locally symmetric spaces