Asymptotics of length frequencies for Coxeter groups

Abdullah Aljouiee () and Youssef Lazar
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Abdullah Aljouiee: Imam Mohammad Ibn Saud Islamic University
Youssef Lazar: Imam Mohammad Ibn Saud Islamic University

Indian Journal of Pure and Applied Mathematics, 2021, vol. 52, issue 2, 521-528

Abstract: 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.

Keywords: Coxeter group; Length function; Frequency (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s13226-021-00044-5

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