Polynomial Solutions For Arbitrary Higher Spin Dirac Operators

DOI10.1080/10586458.2014.994149zbMath1392.30020OpenAlexW1489338601MaRDI QIDQ2813823

David Eelbode, Tim Raeymaekers

Publication date: 27 June 2016

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

Full work available at URL: https://biblio.ugent.be/publication/6847289

zbMATH Keywords

representationDirac operatorsClifford analysisspin grouphigher spin

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Functions of hypercomplex variables and generalized variables (30G35) Semisimple Lie groups and their representations (22E46) Clifford algebras, spinors (15A66)

Related Items (3)

Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators ⋮ Spectra of the Rarita-Schwinger operator on some symmetric spaces ⋮ The higher spin Laplace operator in several vector variables

Cites Work

• Factorization of Laplace operators on higher spin representations
• Higher spin Dirac operators between spaces of simplicial monogenics in two vector variables
• Models for irreducible representations of Spin\((m)\)
• The polynomial null solutions of a higher spin Dirac operator in two vector variables
• Stein-Weiss operators and ellipticity
• Symmetric analogues of Rarita-Schwinger equations
• Infinitesimal operators for representations of complex Lie groups and Clebsch-Gordan coefficients for compact groups
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group
• Rarita-Schwinger type operators in Clifford analysis

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