Description of a Complex of Operators Acting Between Higher Spinor Modules

DOI10.1007/978-3-7643-9893-4_10zbMath1171.22010OpenAlexW276367118MaRDI QIDQ5192392

Peter Franek

Publication date: 5 August 2009

Published in: Hypercomplex Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-7643-9893-4_10

zbMATH Keywords

differential operatorLie algebrasDiracparabolic geometryparabolic subalgebrasRarita-Schwinger operatorcomplex of operatorshomomorphisms of generalized Verma modulesoperators acting on higher spinor modulesZuckerman translation principle

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Proceedings, conferences, collections, etc. pertaining to topological groups (22-06) Differential operators in several variables (32W99)

Cites Work

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• Semiholonomic Verma modules
• Analysis of Dirac systems and computational algebra.
• Dirac operator in two variables from the viewpoint of parabolic geometry
• Structure of representations generated by vectors of highest weight
• Generalized Dolbeault sequences in parabolic geometry
• CONFORMALLY INVARIANT FIRST ORDER DIFFERENTIAL OPERATORS
• Structure of certain induced representations of complex semisimple Lie algebras

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