The polynomial null solutions of a higher spin Dirac operator in two vector variables

DOI10.1007/s00006-010-0260-6zbMath1266.30038OpenAlexW2098533165MaRDI QIDQ640358

L. Van de Voorde, David Eelbode, Fred Brackx

Publication date: 18 October 2011

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/1114409

zbMATH Keywords

Dirac operatorsClifford analysishigher spin

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Semisimple Lie groups and their representations (22E46) Clifford algebras, spinors (15A66)

Related Items

Factorization of Laplace operators on higher spin representations ⋮ Higher spin Dirac operators between spaces of simplicial monogenics in two vector variables ⋮ The polynomial null solutions of a higher spin Dirac operator in two vector variables ⋮ On the fundamental solution for higher spin Dirac operators ⋮ Polynomial Solutions For Arbitrary Higher Spin Dirac Operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Analysis of Dirac systems and computational algebra.
• The rarita—schwinger operator and spherical monogenic forms
• TRIPLE MONOGENIC FUNCTIONS AND HIGHER SPIN DIRAC OPERATORS
• Rarita–Schwinger fields in the half space
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group
• Introduction to Lie Algebras and Representation Theory
• On a Theory of Particles with Half-Integral Spin