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

Mathematics – Geometric Topology

Scientific paper

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10 pages, minor corrections

Scientific paper

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.

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