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arXiv · hep-th/9507128

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

Tomasz Brzezinski·Jacob Katriel
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Abstract

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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Tomasz Brzezinski, Jacob Katriel. 1995-07-25. Representation-theoretic derivation of the Temperley-Lieb-Martin algebras. https://doi.org/10.1088/0305-4470%2F28%2F18%2F019

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