English

On representations of affine Temperley-Lieb algebras, II

Representation Theory 2007-05-23 v1 Quantum Algebra

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.

Keywords

Cite

@article{arxiv.math/9811017,
  title  = {On representations of affine Temperley-Lieb algebras, II},
  author = {K. Erdmann and R. M. Green},
  journal= {arXiv preprint arXiv:math/9811017},
  year   = {2007}
}

Comments

27 pages, 3 EPS figures