Symplectic twistor operator on \(\mathbb R^{2n}\) and the Segal-Shale-Weil representation

DOI10.1007/S11785-013-0300-ZzbMath1306.53066arXiv1304.1406OpenAlexW2962779290MaRDI QIDQ2440916

Petr Somberg, Marie Dostálová

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/1304.1406

zbMATH Keywords

symplectic Dirac operatormetaplectic Howe dualitysymplectic twistor operator

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Spinor and twistor methods applied to problems in quantum theory (81R25) Spin and Spin({}^c) geometry (53C27)

Related Items (1)

Basic aspects of symplectic Clifford analysis for the symplectic Dirac operator

Cites Work

• Unnamed Item
• Classification of 1st order symplectic spinor operators over contact projective geometries
• Introduction to symplectic Dirac operators
• Symplectic spinor valued forms and invariant operators acting between them
• On modules of bounded multiplicities for the symplectic algebras

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