Vol. 84, No. 1, 1979

Recent Issues
Vol. 323: 1
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Vol. 317: 1  2
Vol. 316: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
Asymptotic behavior of multiplicities of representations of compact groups

Robert S. Cahn and Michael E. Taylor

Vol. 84 (1979), No. 1, 17–28
Abstract

Let G be a compact Lie group, K a compact subgroup. We denote by {λ} a complete set of irreducible unitary representations of G, which we identify with lattice points within a Weyl chamber 𝒞 in Rk, the cotangent space to a maximal torus in G. Similarly we denote by {ρ} a complete set of irreducible representations of K. The purpose of this paper is to study the asymptotic behavior of the multiplicity ν(ρ,λ) with which ρ is contained in λ, for fixed ρ, as λ →∞ in 𝒞.

Mathematical Subject Classification 2000
Primary: 22E46
Secondary: 22C05, 10J25
Milestones
Received: 1 June 1978
Published: 1 September 1979
Authors
Robert S. Cahn
Michael E. Taylor
Mathematics Dept.
Univ. of North Carolina
Chapel Hill NC 27599
United States
http://www.math.unc.edu/Faculty/met/