Lie Group Representations and Harmonic Polynomials of a Matrix Variable

DOI10.2307/1997683zbMath0287.22014OpenAlexW4249656832MaRDI QIDQ4773909

Tuong Ton-That

Publication date: 1976

Full work available at URL: https://doi.org/10.2307/1997683

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Calculus on manifolds; nonlinear operators (58C99)

Related Items

Unnamed Item ⋮ Symplectic Stiefel Harmonics and Holomorphic Representations of Symplectic Groups ⋮ Logarithm laws for unipotent flows on hyperbolic manifolds ⋮ Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Operator-valued Bessel functions on Schrödinger-Fock spaces and Siegel domains of type II ⋮ Isotropy subgroups of transformation groups ⋮ Reproducing kernels for the irreducible components of polynomial spaces on unions of Grassmannians ⋮ Kelvin transform and multi-harmonic polynomials ⋮ Whittaker-orthogonal models, functoriality, and the Rankin-Selberg method ⋮ An invariant theory approach for the unramified computation of Rankin-Selberg integrals for quasi-split \(\text{SO}_{2n} \times \text{GL}_n\) ⋮ Polynomial representations of the symplectic groups ⋮ Composite Cosine Transforms ⋮ The moduli space of marked generalized cusps in real projective manifolds ⋮ $L$-functions for symplectic groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bessel functions of matrix argument
• Zur Theorie der harmonischen Formen. (On the theory of harmonic forms)
• Homogeneous vector bundles
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Invariants and fundamental functions
• Differential Operators on a Semisimple Lie Algebra
• A Theory of Stiefel Harmonics
• The Explicit Fourier Decomposition of L²SO(n)/SO(n - m))
• Lie Group Representations on Polynomial Rings
• Systems of Singular Integral Operators on Spheres
• Cyclic Vectors and Irreducibility for Principal Series Representations

This page was built for publication: Lie Group Representations and Harmonic Polynomials of a Matrix Variable