Invariant differential operators on Grassmann manifolds

DOI10.1016/0001-8708(86)90003-4zbMath0613.58038OpenAlexW2043248051MaRDI QIDQ1819451

Yanyan Li

Publication date: 1986

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(86)90003-4

zbMATH Keywords

Grassmann manifoldG-invariant differential operators

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Invariance and symmetry properties for PDEs on manifolds (58J70)

Related Items (12)

Invariant differential operators on symplectic Grassmann manifolds ⋮ Differential Operators on Grassmann Varieties ⋮ Moment conditions and support theorems for Radon transforms on affine Grassmann manifolds ⋮ Commuting involutions and degenerations of isotropy representations ⋮ Dual Radon transforms on affine Grassmann manifolds ⋮ Harmonic Analysis on Grassmannian Bundles ⋮ Radon transforms on Grassmann manifolds ⋮ Invariant differential operators and the range of the Radon d-plane transform ⋮ Integral geometry on Grassmann manifolds and calculus of invariant differential operators ⋮ Integral geometry of Euler equations ⋮ Bi-invariant differential operators on the Euclidean motion group and applications to generalized Radon transforms ⋮ Composite Cosine Transforms

Cites Work

• Radon transforms on Grassmann manifolds
• Differential operators on homogeneous spaces
• The Radon transform on Euclidean spaces, compact two-point homogeneous spaces and Grassmann manifolds
• Harmonic Analysis on Grassmannian Bundles
• Commutativity of the Invariant Differential Operators on a Symmetric Space
• Invariant Polynomials on Lie Algebras of Inhomogeneous Unitary and Special Orthogonal Groups
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