Degrees of irreducible characters of the symmetric group and exponential growth-Reference-Cited by-同舟云学术

Degrees of irreducible characters of the symmetric group and exponential growth

Published:2015-10-06 Issue:3 Volume:144 Page:943-953
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Giambruno Antonio,Mishchenko Sergey

Abstract

We consider sequences of degrees of ordinary irreducible S n S_n - characters. We assume that the corresponding Young diagrams have rows and columns bounded by some linear function of n n with leading coefficient less than one. We show that any such sequence has at least exponential growth and we compute an explicit bound.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2016-144-03/S0002-9939-2015-12758-X/S0002-9939-2015-12758-X.pdf

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