English

Decay to zero of matrix coefficients at Adjoint infinity

Dynamical Systems 2007-05-23 v1 Representation Theory

Abstract

We prove that if a unitary representation of a connected Lie group has the property that no nonozero vector is fixed by any nontrival normal connected subgroup, then the matrix coefficients decay to zero at Adjoint-infinity.

Cite

@article{arxiv.math/0606203,
  title  = {Decay to zero of matrix coefficients at Adjoint infinity},
  author = {Scot Adams},
  journal= {arXiv preprint arXiv:math/0606203},
  year   = {2007}
}

Comments

8 pages, 0 figures http://www.math.umn.edu/~adams/Matrixdecay/ no plans to publish

R2 v1 2026-07-22T17:37:10.154Z