Construction of arbitrary order conformally invariant operators in higher spin spaces

DOI10.1007/s12220-017-9766-7zbMath1378.53062arXiv1603.07441OpenAlexW2963758341MaRDI QIDQ2411214

Yanyan Li

Publication date: 20 October 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.07441

zbMATH Keywords

fundamental solutionsintertwining operatorsconformal invarianceKnapp-Stein operatorsfermionic operatorsconvolution-type operatorsbosonic operators

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Functions of hypercomplex variables and generalized variables (30G35) Applications of global differential geometry to the sciences (53C80) Spin and Spin({}^c) geometry (53C27) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items

Holographic coordinates ⋮ Bochner-Martinelli formula for higher spin operators of several \(\mathbb{R}^6\) variables ⋮ Integral formulas for higher order conformally invariant fermionic operators ⋮ Higher Order Fermionic and Bosonic Operators ⋮ Third-Order Fermionic and Fourth-Order Bosonic Operators ⋮ Some properties of the higher spin Laplace operator ⋮ Fischer decomposition of massless fields for spin 3/2 in dimension 4 ⋮ Ellipticity of some higher order conformally invariant differential operators

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