English

Multiplicity, Invariants and Tensor Product Decomposition of Tame Representations of U(\infty)

Mathematical Physics 2015-06-26 v1 math.MP Representation Theory

Abstract

The structure of r-fold tensor products of irreducible tame representations of the inductive limit U(\infty) of unitary groups U(n) are are described, versions of contragredient representations and invariants are realized on Bargmann-Segal-Fock spaces.

Keywords

Cite

@article{arxiv.math-ph/9910025,
  title  = {Multiplicity, Invariants and Tensor Product Decomposition of Tame Representations of U(\infty)},
  author = {R. Michael Howe and Tuong Ton-That},
  journal= {arXiv preprint arXiv:math-ph/9910025},
  year   = {2015}
}

Comments

48 pages, LaTeX file, to appear in J. Math. Phys