The Penrose transform and the exactness of the tangential \(k\)-Cauchy-Fueter complex on the Heisenberg group

DOI10.1007/s00006-021-01129-4zbMath1467.58012OpenAlexW3154936668MaRDI QIDQ2029697

Yun Shi, Qing Yan Wu

Publication date: 4 June 2021

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

Full work available at URL: https://doi.org/10.1007/s00006-021-01129-4

zbMATH Keywords

Heisenberg groupquaternionic analysisexact sequencePenrose transformtangential \(k\)-Cauchy-Fueter complex

Mathematics Subject Classification ID

Twistor theory, double fibrations (complex-analytic aspects) (32L25) Differential complexes (58J10)

Cites Work

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• On the quaternionic Monge-Ampère operator, closed positive currents and Lelong-Jensen type formula on the quaternionic space
• The generalized Dolbeault complex in two Clifford variables
• Invariant resolutions for several Fueter operators
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• Introduction to Lie Algebras and Representation Theory

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