Higher-Order Differential Operators on a Lie Group and Quantization
High Energy Physics - Theory
2009-10-28 v3
Abstract
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.
Cite
@article{arxiv.hep-th/9512020,
title = {Higher-Order Differential Operators on a Lie Group and Quantization},
author = {V. Aldaya and J. Guerrero and G. Marmo},
journal= {arXiv preprint arXiv:hep-th/9512020},
year = {2009}
}
Comments
9 pages, latex, no figures, uses IJMPB.sty (included). New version partially rewritten (title changed!), presented to the II Int. Workshop on Class. and Quant. Integrable Systems, Dubna (Rusia) 1996, and published in Int. J. Mod. Phys. A