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VOL. 39 | 2001 Yet another construction of the central extension of the loop group
Michael K. Murray, Daniel Stevenson

Editor(s) Andrew Hassell, Alexander Isaev, Adam Sikora

Abstract

We give a characterisation of central extensions of a Lie group $G$ by $C^\times$, in terms of a differential two-form on G and a differential one-form on $G \times G$. This is applied to the case of the central extension of the loop group.

Information

Published: 1 January 2001
First available in Project Euclid: 17 November 2014

zbMATH: 1127.22009
MathSciNet: MR1852705

Rights: Copyright © 2001, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

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