Abstract
We give an integral formulation for the length frequencies in classical Coxeter groups. From this we derive a precise asymptotic for the peak of length frequency taken among elements in a Coxeter group. An interpretation of the peak of frequency in terms of an integral of characters afforded by tensor products of unitary representations.
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Communicated by I.B.S.Passi.
This project was supported by the Scientific Research Deanship No 371209, year 1437/1438.
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Aljouiee, A., Lazar, Y. Asymptotics of length frequencies for Coxeter groups. Indian J Pure Appl Math 52, 521–528 (2021). https://doi.org/10.1007/s13226-021-00044-5
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DOI: https://doi.org/10.1007/s13226-021-00044-5