Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2019; 34(4): 1117-1133

Online first article August 27, 2019      Printed October 31, 2019

https://doi.org/10.4134/CKMS.c180431

Copyright © The Korean Mathematical Society.

A combinatorial approach to asymptotic behavior of Kirillov model for $GL_2$

Yusuf Danisman

Queensborugh Community College

Abstract

We find the asymptotic behavior of Kirillov model for irreducible induced representations of $GL_2$ by using combinatorial methods.

Keywords: $GL_2$, induced representation, Jacquet module, Kirillov model

MSC numbers: Primary 11F70, 11F85

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