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Australasian Research Symposium on Lie Groups, Algebraic Groups, Quantum Groups, and Their Representations (LAQ'2001)
December 7-10, 2001
The University of Auckland
Auckland, New Zealand

Organizers
Rod Gover (University of Auckland), Vladimir Pestov (Victoria University of Wellington)

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Linking Cartan to quantum gravity
by
A Rod Gover
University of Auckland
Coauthors: Andreas Cap (Erwin Schrodinger Institute, Vienna), Larry Peterson (University of North Dakota)

The Cartan bundle and connection have a long and important history for conformal and similar geometries and are intimately connected to classical Lie theory. Recently an ambient metric construction due to C. Fefferman and C.R. Graham has also emerged as an important construction in conformal geometry and is closely linked to the AdS/CFT construction of qantum gravity. I will describe in elementary terms how a new construction directly links these and leads to an effective calculational tool.

Date received: August 1, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahw-02.