Representation-theoretic derivation of the Temperley-Lieb-Martin algebras

Details Representation-theoretic derivation of the Temperley-Lieb-Martin algebras Representation-theoretic derivation of the Temperley-Lieb-Martin algebras

1995-07-25

arxiv.org/abs/hep-th/9507128v1

J.Phys. A28 (1995) 5305-5312

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX, to appear in J. Phys. A

Scientific paper

10.1088/0305-4470/28/18/019

Explicit expressions for the Temperley-Lieb-Martin algebras, i.e., the quotients of the Hecke algebra that admit only representations corresponding to Young diagrams with a given maximum number of columns (or rows), are obtained, making explicit use of the Hecke algebra representation theory. Similar techniques are used to construct the algebras whose representations do not contain rectangular subdiagrams of a given size.

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