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Noncommutative Symmetric Bessel Functions

Published online by Cambridge University Press:  20 November 2018

Jean-Christophe Novelli  and
Jean-Yves Thibon
Jean-Christophe Novelli
Affiliation:
Institut Gaspard Monge, Université de Marne-la-Vallée, Champs-sur-Marne, 77454 Marne-la-Vallée Cedex 2, France. e-mail: novelli@univ-mlv.fr, e-mail: jyt@univ-mlv.fr
Jean-Yves Thibon
Affiliation:
Institut Gaspard Monge, Université de Marne-la-Vallée, Champs-sur-Marne, 77454 Marne-la-Vallée Cedex 2, France. e-mail: novelli@univ-mlv.fr, e-mail: jyt@univ-mlv.fr
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Abstract

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The consideration of tensor products of 0-Hecke algebramodules leads to natural analogs of the Bessel $J$ -functions in the algebra of noncommutative symmetric functions. This provides a simple explanation of various combinatorial properties of Bessel functions.

Keywords

05E0516W3005A15

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 3 , 01 September 2008 , pp. 424 - 438
Copyright
Copyright © Canadian Mathematical Society 2008

References

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