Contractions of group representations via geometric quantization-Reference-Cited by-同舟云学术

Contractions of group representations via geometric quantization

Published:2019-11-21 Issue:1 Volume:110 Page:43-59
ISSN:0377-9017
Container-title:Letters in Mathematical Physics
language:en
Short-container-title:Lett Math Phys

Author:

Akylzhanov Rauan^ORCID,Arnaudon Alexis

Abstract

AbstractWe propose a general framework to contract unitary dual of Lie groups via holomorphic quantization of their coadjoint orbits, using geometric quantization. The sufficient condition for the contractibility of a representation is expressed via cocycles on coadjoint orbits. This condition is verified explicitly for the contraction of SU

$$_2$$

2 into

$$\mathbb {H}$$

H. We construct two types of contractions that can be implemented on every matrix Lie group with diagonal contraction matrix.

Funder

Imperial College London

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s11005-019-01212-9.pdf

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