# The character of the exceptional series of representations of SU(1,1)

@article{Basu1999TheCO, title={The character of the exceptional series of representations of SU(1,1)}, author={Debabrata Basu and Subrata Bal and K. V. Shajesh}, journal={Journal of Mathematical Physics}, year={1999}, volume={41}, pages={461-467} }

The character of the exceptional series of representations of SU(1,1) is determined by using Bargmann’s realization of the representation in the Hilbert space Hσ of functions defined on the unit circle. The construction of the integral kernel of the group ring turns out to be especially involved because of the nonlocal metric appearing in the scalar product with respect to which the representations are unitary. Since the nonlocal metric disappears in the “momentum space,” i.e., in the space of…

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### Awards and Recognitions

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1967-1968 Natural Environmental Research Council of Great Britain Senior Research Fellowship. 1969-1971 National Research Council of Canada Postdoctorate Fellowship. 1975, 1976, 1979, 1984 summers…

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