Alternating sum formulas for multiplicities in \(L^ 2(\Gamma-G)\). II

DOI10.1007/BF01162591zbMath0489.22016MaRDI QIDQ1166630

Roberto J. Miatello

Publication date: 1983

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

Full work available at URL: https://eudml.org/doc/173259

zbMATH Keywords

multiplicitiesregular representationinfinitesimal characterirreducible unitary modulereal semisimple Lie

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40)

Related Items (4)

Equidistribution of holonomy about closed geodesics ⋮ Spectral Asymptotics for Spinor Laplacians and Multiplicities ⋮ An inequality among infinitesimal characters related to the lowest \(K\)-types of discrete series ⋮ \(L^ 2\)-index and the Selberg trace formula

Cites Work

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• The algebraic structure of the representation of semisimple Lie groups. I
• A geometric construction of the discrete series for semisimple Lie groups
• Limit formulas for multiplicities in \(L^2(\Gamma\setminus G)\)
• An analogue of the Borel-Weil-Bott theorem for Hermitian symmetric pairs of non-compact type
• Compact Clifford-Klein forms of symmetric spaces
• On the Distribution of the Principal Series in L 2 (Γ\G)
• An Alternating Sum Formula for Multiplicities in L 2 (Γ\G)
• Classification of irreducible tempered representations of semisimple Lie groups
• On the Selberg trace formula in the case of compact quotient
• Seminar on Atiyah-Singer Index Theorem. (AM-57)

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