6533b822fe1ef96bd127cc98

RESEARCH PRODUCT

Higher-Order Differential Operators on a Lie Group and Quantization

Julio Becerra GuerreroVictor AldayaVictor AldayaGiuseppe Marmo

subject

PhysicsHigh Energy Physics - TheoryNuclear and High Energy PhysicsGroup (mathematics)Quantization (signal processing)FOS: Physical sciencesLie groupAstronomy and AstrophysicsDifferential operatorAtomic and Molecular Physics and OpticsAlgebraHigh Energy Physics - Theory (hep-th)IrreducibilityOrder (group theory)Representation (mathematics)Mathematics::Representation Theory

description

This talk is devoted mainly to the concept of higher-order polarization on a group, which is introduced in the framework of a Group Approach to Quantization, as a powerful tool to guarantee the irreducibility of quantizations and/or representations of Lie groups in those anomalous cases where the Kostant-Kirilov co-adjoint method or the Borel-Weyl-Bott representation algorithm do not succeed.

10.1142/s0217751x97000025http://arxiv.org/abs/hep-th/9512020