Mathematical Physics and Quantum Field Theory
Electron. J. Diff. Eqns., Conf. 04, 2000, pp. 1722.
Quantization and irreducible representations of infinitedimensional
transformation groups and Lie algebras
Paul R. Chernoff
Abstract:
We present an analytic version of a theorem of Burnside and apply it to the
study of irreducible representations of doublytransitive groups and Lie
algebras. Application to the Dirac quantization problem is given.
Published July 12, 2000.
Mathematics Subject Classifications: 22E65, 17B15.
Key words: Infinite dimensional Lie algebras, representations.
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Paul R. Chernoff
Department of Mathematics
University of California
Berkeley, CA 94720
email: chernoff@math.berkeley.edu 
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