Abstract
In this chapter we shall discuss the structure of the infinite-dimensional Lie groups associated to the affine Kac-Moody algebras. We shall also construct the group of the current algebra of a gauge field theory in 3+1 space-time dimensions and we shall study the implications of the commutation relations for the spin-statistics relation in 3+1 dimensions.
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© 1989 Springer Science+Business Media New York
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Mickelsson, J. (1989). Extensions of Groups of Gauge Transformations. In: Current Algebras and Groups. Plenum Monographs in Nonlinear Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-0295-8_4
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DOI: https://doi.org/10.1007/978-1-4757-0295-8_4
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Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4757-0297-2
Online ISBN: 978-1-4757-0295-8
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