Fischer decomposition of massless fields for spin 3/2 in dimension 4

DOI10.1007/s00006-021-01187-8zbMath1492.30097OpenAlexW4200277079MaRDI QIDQ2067209

Wei Wang, Hennie De Schepper, Vladimír Souček, Roman Lávička, Fred Brackx

Publication date: 17 January 2022

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

Full work available at URL: http://hdl.handle.net/1854/LU-8562028

zbMATH Keywords

Clifford analysisFischer decompositionStein-Weiss gradientshigher spinmass-less field equations

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Semisimple Lie groups and their representations (22E46) Spherical harmonics (33C55)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complete orthogonal Appell systems for spherical monogenics
• Factorization of Laplace operators on higher spin representations
• Fischer decomposition for massless fields of spin 1 in dimension 4
• Explicit resolutions for the complex of several Fueter operators
• Quaternionic analysis, representation theory and physics
• Cohomology and massless fields
• Quaternionic complexes
• Symmetric analogues of Rarita-Schwinger equations
• Gelfand-Tsetlin bases for spherical monogenics in dimension 3
• Analysis of Dirac systems and computational algebra.
• On Penrose integral formula and series expansion of \(k\)-regular functions on the quaternionic space \(\mathbb H^n\)
• The higher spin Laplace operator
• The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
• Construction of arbitrary order conformally invariant operators in higher spin spaces
• The Neumann problem for the \(k\)-Cauchy-Fueter complex over \(k\)-pseudoconvex domains in \(\mathbb{R}^4\) and the \(L^2\) estimate
• Invariant resolutions for several Fueter operators
• Generalised Maxwell equations in higher dimensions
• The Gelfand-Tsetlin bases for Hodge-de Rham systems in Euclidean spaces
• The Fischer decomposition for Hodge-de Rham systems in Euclidean spaces
• Complexes of invariant operators in several quaternionic variables
• Decomposition of the polynomial kernel of arbitrary higher spin Dirac operators
• Representation Theory in Clifford Analysis
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group

This page was built for publication: Fischer decomposition of massless fields for spin 3/2 in dimension 4