Tuesday, May 8, 2012

1012.4826 (Anton M. Zeitlin)

Unitary representations of a loop ax+b group, Wiener measure and

Anton M. Zeitlin
We construct a family of irreducible unitary representations of the loop affine group of a line (ax+b group) with central extension on the Hilbert space of square integrable functions with respect to the Wiener measure. We relate the matrix coefficients of the elements of the loop ax+b group to the loop analogue of the Gamma-function.
View original: http://arxiv.org/abs/1012.4826

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