Abstract
In this chapter we deal systematically with the trace in infinite dimensional representations, especially those we have explicitly constructed. We prove that in the induced representations, the trace expressed as the integral of a kernel over the diagonal can be identified with the usual sum of diagonal matrix coefficients. We then compute the trace in various representations.
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© 1985 Springer-Verlag New York Inc.
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Lang, S. (1985). Traces. In: SL 2(R). Graduate Texts in Mathematics, vol 105. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5142-2_7
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DOI: https://doi.org/10.1007/978-1-4612-5142-2_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-9581-5
Online ISBN: 978-1-4612-5142-2
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