Rationally Varying Polarizing Subalgebras in Nilpotent Lie Algebras

DOI10.2307/2043981zbMath0477.17001OpenAlexW4241865004MaRDI QIDQ3934670

Frederick P. Greenleaf, Lawrence J. Corwin

Publication date: 1981

Full work available at URL: https://doi.org/10.2307/2043981

zbMATH Keywords

nilpotent Lie algebrarational dependencecanonical subalgebrasconstruction of polarizationsmaximal subordinate subalgebras

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of Lie algebras and Lie superalgebras, analytic theory (17B15) Solvable, nilpotent (super)algebras (17B30)

Related Items (3)

Cross-sections and an explicit formula for the Plancherel measure on a nilpotent Lie group ⋮ Local solvability of second order differential operators on nilpotent Lie groups ⋮ Necessary conditions for local solvability of homogeneous left invariant differential operators on nilpotent Lie groups

Cites Work

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• Fourier transforms of smooth functions on certain nilpotent Lie groups
• Hypoellipticity on the Heisenberg Group-Representation-Theoretic Criteria
• A canonical formula for the distribution kernels of primary projections in L2 of a nilmanifold
• Canonical Objects in Kirillov Theory on Nilpotent Lie Groups
• Dual topology of a nilpotent Lie group

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