A New Proof of the Faithfulness of Brauer's Representation of   Temperley-Lieb Algebras
  The faithfulness of the orthogonal group case of Brauer's representation of the Brauer centralizer algebras restricted to their Temperley-Lieb subalgebras, which was established by Vaughan Jones, is here proved in a new, elementary and self-contained, manner. 
K. Dosen (Mathematical Institute, Belgrade), Z. Kovijanic (U. of   Montenegro), Z. Petric (Mathematical Institute, Belgrade)