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math.GT2003★ 5 cited
Simplicial Endomorphisms
K. Dosen
The monoids of simplicial endomorphisms, i.e. the monoids of endomorphisms in the simplicial category, are submonoids of monoids one finds in Temperley-Lieb algebras, and as the mo…
math.GT2002★ 1 cited
A New Proof of the Faithfulness of Brauer's Representation of Temperley-Lieb Algebras
K. Dosen, Z. Kovijanic, Z. Petric
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…
math.GT2001
Self-Adjunctions and Matrices
K. Dosen, Z. Petric
It is shown that the multiplicative monoids of Temperley-Lieb algebras generated out of the basis are isomorphic to monoids of endomorphisms in categories where an endofunctor is a…