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Asymptotics of length frequencies for Coxeter groups

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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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References

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Authors and Affiliations

  1. Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Kingdom of Saudi Arabia

    Abdullah Aljouiee & Youssef Lazar

Authors
  1. Abdullah Aljouiee
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  2. Youssef Lazar
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Corresponding author

Correspondence to Abdullah Aljouiee.

Additional information

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

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