Rational Subspaces of Induced Representations and Nilmanifolds

DOI10.2307/1997985zbMath0401.22011OpenAlexW4239257036MaRDI QIDQ4185066

Richard C. Penney

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/1997985

zbMATH Keywords

NilmanifoldsSquare Integrable RepresentationsHeisenberg NilmanifoldIrreducible Subspaces

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (2)

Square integrable representations and nilmanifolds ⋮ A general character formula for irreducible projections on \(L^2\) of a nilmanifold

Cites Work

• Square integrable representations and nilmanifolds
• Integral formulas with distribution kernels for irreducible projections in \(L^2\) of a nilmanifold
• Decomposition of unitary representations defined by discrete subgroups of nilpotent groups
• Square Integrable Representations of Nilpotent Groups
• On Frobenius Reciprocity for Unipotent Algebraic Groups Over Q
• Invariant subspace theory for three-dimensional nilmanifolds
• An exposition of the structure of solvmanifolds. Part I: Algebraic theory
• Decomposition of the L 2 -Space of a General Compact Nilmanifold
• On Induced Representations

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