Global Solvability on Two-Step Compact Nilmanifolds

DOI10.2307/1999551zbMath0525.22010OpenAlexW4242073172MaRDI QIDQ3039596

Jacek M. Cygan, Leonard F. Richardson

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999551

zbMATH Keywords

uniform convergenceirreducible unitary representationfirst order invariant partial differential equationsglobally regulartwo-step compact nilmanifold

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25)

Related Items (1)

Global Solvability on Compact Nilmanifolds of Three or More Steps

Cites Work

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• Globally hypoelliptic vector fields
• Non-elliptic Laplace equations on nilpotent Lie groups
• Uniform distribution in solvmanifolds
• A Representation-Theoretic Criterion for Local Solvability of Left Invariant Differential Operators on Nilpotent Lie Groups
• Global Solvability on Compact Heisenberg Manifolds
• Remarks on Global Hypoellipticity
• Global Hypoellipticity and Liouville Numbers
• Decomposition of the L 2 -Space of a General Compact Nilmanifold

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