Quaternionic Hermitian spinor systems and compatibility conditions

DOI10.1515/ADVGEOM.2010.045zbMath1235.30030OpenAlexW2051566740MaRDI QIDQ3074807

Irene Sabadini, Alberto Damiano, David Eelbode

Publication date: 10 February 2011

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2010.045

zbMATH Keywords

Hermitian Clifford analysisquaternionic Hermitian monogenic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (13)

Invariant syzygies for the Hermitian Dirac operator ⋮ Cauchy integral formulae in quaternionic Hermitean Clifford analysis ⋮ Cauchy’s Formula in Clifford Analysis: An Overview ⋮ Fundaments of quaternionic Clifford analysis II: splitting of equations ⋮ Fischer decomposition in symplectic harmonic analysis ⋮ The Cauchy integral formula in Hermitian, quaternionic and \(\mathfrak{osp}(4|2)\) Clifford analysis ⋮ Algebraic analysis of Hermitian monogenic functions ⋮ Fundaments of quaternionic Clifford analysis. I: Quaternionic structure ⋮ Split-quaternionic Hermitian Clifford analysis ⋮ Fischer decomposition for osp(4|2)-monogenics in quaternionic Clifford analysis ⋮ Matrix Cauchy and Hilbert transforms in Hermitian quaternionic Clifford analysis ⋮ Boundary value problems on fractal hypersurfaces for the quaternionic Hermitian system in \(\mathbb R^{4n}\) ⋮ Bicomplex Hermitian Clifford analysis

Uses Software

• SINGULAR

Cites Work

• Quaternionic Clifford analysis: the Hermitian setting
• Symmetric analogues of Rarita-Schwinger equations
• Sobolev mappings: Lipschitz density is not a bi-Lipschitz invariant of the target
• Invariant syzygies for the Hermitian Dirac operator
• Fundaments of Hermitean Clifford analysis. I: Complex structure
• A Clifford algebraic framework for \(\mathfrak{sp}(m)\)-invariant differential operators
• Algebraic analysis of Hermitian monogenic functions
• Rarita–Schwinger fields in the half space
• Irreducible (m)-modules of Hermitean monogenics
• Hermitian Clifford analysis and resolutions
• Fundaments of Hermitean Clifford analysis part II: splitting ofh-monogenic equations
• Generalization of the Cauchy-Riemann Equations and Representations of the Rotation Group

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