A New Proof of the Faithfulness of Brauer's Representation of Temperley-Lieb Algebras

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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.
10 pages, minor corrections

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