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Irreducible Representations of Infinite-Dimensional Transformation Groups and Lie Algebras, I

✍ Scribed by P.R. Chernoff

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
999 KB
Volume
130
Category
Article
ISSN
0022-1236

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✦ Synopsis

This paper contains some general results on irreducibility and inequivalence of representations of certain kinds of infinite dimensional Lie algebras, related to transformation groups. The main abstract theorem is a generalization of a classical result of Burnside. Applications are given, especially to the study of the Dirac quantization problem of representing the Lie algebra of functions on a symplectic manifold. 1995 Academic Press, Inc.

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