Complex associated to some systems of PDE

DOI10.1016/j.geomphys.2021.104319zbMath1473.35368arXiv1809.01919OpenAlexW3181300371WikidataQ114173601 ScholiaQ114173601MaRDI QIDQ1984372

Emmanuel Mazzilli, Pierre Bonneau

Publication date: 16 September 2021

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.01919

zbMATH Keywords

exterior differential systemsCartan-Kuranishi's theorem on the involution of tableauxCauchy-Fueter equationssystems and tableaux in involution

Mathematics Subject Classification ID

Jets in global analysis (58A20) Exterior differential systems (Cartan theory) (58A15) Overdetermined systems of PDEs with constant coefficients (35N05)

Cites Work

• On non-homogeneous Cauchy-Fueter equations and Hartogs' phenomenon in several quaternionic variables
• Complexes of Dirac operators in Clifford algebras
• The \(k\)-Cauchy-Fueter complex, Penrose transformation and hartogs phenomenon for quaternionic \(k\)-regular functions
• The Geometry of Syzygies
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