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Continuous Representation Theory Using the Affine Group
Journal of Mathematical Physics, 1969We present a continuous representation theory based on the affine group. This theory is applicable to a mechanical system which has one or more of its classical canonical coordinates restricted to a smaller range than − ∞ to ∞. Such systems are especially troublesome in the usual quantization approach since, as is well known from von Neumann's work ...
Aslaksen, E. W., Klauder, J. R.
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Representations of affine Kac–Moody algebras and the affine scalar product
Journal of Mathematical Physics, 1990Simple procedures are given for finding all the dominant weights in a highest weight representation of an affine algebra, for finding the Weyl orbit of an arbitrary weight, and for determining whether or not any given weight is in any given representation. A simple definition of congruency is given that applies to all affine algebras.
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Dimension Groups and Their Affine Representations
American Journal of Mathematics, 1980Effros, Edward G. +2 more
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