English

Invariant Krein subspaces, regular irreducibility and integral representations

Functional Analysis 2008-03-28 v1 Representation Theory

Abstract

We study unitary representations of groups in Krein spaces, irreducibility criteria and integral decompositions. Our main tool is the theory of Krein subspaces and their (reproducing) kernels and a variant of Choquet's theorem.

Keywords

Cite

@article{arxiv.0803.3961,
  title  = {Invariant Krein subspaces, regular irreducibility and integral representations},
  author = {Xavier Mary},
  journal= {arXiv preprint arXiv:0803.3961},
  year   = {2008}
}

Comments

27 pages

R2 v1 2026-06-21T10:25:03.778Z