\(k\)-Dirac operator and parabolic geometries

DOI10.1007/s11785-013-0292-8zbMath1285.30032arXiv1201.0355OpenAlexW3100850586MaRDI QIDQ2440907

Tomáš Salač

Publication date: 20 March 2014

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0355

zbMATH Keywords

Clifford analysisparabolic geometries\(k\)-Dirac operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Differential complexes (58J10)

Related Items (5)

Resolution of the \({k}\)-Dirac operator ⋮ Elliptic complex on the Grassmannian of oriented 2-planes ⋮ \(k\)-Dirac operator and the Cartan-Kähler theorem for weighted differential operators ⋮ Different approaches to the complex of three Dirac operators ⋮ \(k\)-Dirac complexes

Cites Work

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• Explicit resolutions for the complex of several Fueter operators
• A comparison theory for the structure of induced representations
• Quaternionic complexes
• Complexes of Dirac operators in Clifford algebras
• Analysis of Dirac systems and computational algebra.
• Invariant resolutions for several Fueter operators
• Complexes of invariant operators in several quaternionic variables
• Generalized Dolbeault sequences in parabolic geometry
• The Dirac Complex on Abstract Vector Variables: Megaforms
• Bernstein-Gelfand-Gelfand sequences

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