Vol. 191, No. 2, 1999

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On representations of affine Temperley–Lieb algebras, II

K. Erdmann and R.M. Green

Vol. 191 (1999), No. 2, 243–273
Abstract

We study some non-semisimple representations of affine Temperley-Lieb algebras and related cellular algebras. In particular, we classify extensions between simple standard modules. Moreover, we construct a completion which is an infinite dimensional cellular algebra.

Milestones
Received: 4 August 1997
Revised: 13 November 1998
Published: 1 December 1999
Authors
K. Erdmann
Oxford University
24–29 St. Giles’
Oxford OX1 3LB
England
R.M. Green
Lancaster University
Lancaster LA1 4YF
England