On representations of affine Temperley-Lieb algebras, II

Pacific Journal of Mathematics

Volumn 191, Issue 2, 1999, Pages 243-273

  Erdmann, K ^a   Green, R M ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b LANCASTER UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010571931     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1999.191.243     Document Type: Article

References (12)

1. M. Auslander, I. Reiten and S. Smalø, Representation theory of Artin Algebras, Cambridge University Press, Cambridge, UK, 1994.
2. E. Cline, B. Parshall and L.L. Scott, Finite dimensional algebras and highest weight categories, J. Reine Angew. Mathematik, 391 (1988), 85-99.
3. C.K. Fan and R.M. Green, On the affine Temperley-Lieb algebras, Jour. L.M.S., to appear.
4. J.J. Graham and G.I. Lehrer, Cellular algebras, Invent. Math., 123 (1996), 1-34.
5. _, The representation theory of affine Temperley-Lieb algebras, Enseign. Math., 44 (1998), 173-218.
6. R.M. Green, On representations of affine Temperley-Lieb algebras, in 'Algebras and Modules II', CMS Conference Proceedings, Amer. Math. Soc., Providence, RI, 24 (1998), 245-261.
7. _, Completions of cellular algebras, Comm. Alg., to appear.
8. V.F.R. Jones, A quotient of the affine Hecke algebra in the Brauer algebra, Enseign. Math., 40 (1994), 313-344.
9. S. König and C. Xi, On the structure of cellular algebras, in 'Algebras and Modules II', CMS Conference Proceedings, Amer. Math. Soc., Providence, RI, 24 (1998), 365-386.
10. P. Martin and H. Saleur, On an algebraic approach to higher dimensional statistical mechanics, Comm. Math. Phys., 158 (1993), 155-190.
11. _, The blob algebra and the periodic Temperley-Lieb algebra, Lett. Math. Phys., 30(3) (1994), 189-206.
12. J.C. McConnell and J.C. Robson, Non-commutative Noetherian rings, John Wiley & Sons, 1987.