Equivariant differential operators on spinors in conformal geometry

DOI10.1080/17476933.2016.1234461zbMath1362.53027arXiv1602.01403OpenAlexW2963422850WikidataQ115295001 ScholiaQ115295001MaRDI QIDQ2980762

Petr Somberg, Libor Křižka

Publication date: 3 May 2017

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.01403

zbMATH Keywords

conformal structuregeneralized Verma modules\(\mathcal{D}\)-modulesspinor representationconformally equivariant differential operators

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Clifford algebras, spinors (15A66) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Methods of local Riemannian geometry (53B21)

Cites Work

• A duality theorem for extensions of induced highest weight modules
• Branching laws for Verma modules and applications in parabolic geometry. I
• Semiholonomic Verma modules
• A comparison theory for the structure of induced representations. II
• On conformal powers of the Dirac operator on spin manifolds
• Unnamed Item