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zbMath0722.22007MaRDI QIDQ3209340

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Publication date: 1990

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zbMATH Keywords

cohomology class invariant differential operators root systems involution discrete series representations maximal compact subgroup semisimple symmetric space connected real semisimple Lie group Siegel sets regular weight K-finite simultaneous eigenfunction

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Homology and cohomology of Lie groups (57T10) Discrete subgroups of Lie groups (22E40) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Differential geometry of symmetric spaces (53C35)

Related Items (3)

Spectral square means for period integrals of wave functions on real hyperbolic spaces ⋮ Relative trace formulas for unitary hyperbolic spaces ⋮ Automorphic Green functions associated with the secondary spherical functions

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