Cellular algebras arising from Hecke algebras of type Hn

Mathematische Zeitschrift

Volumn 229, Issue 2, 1998, Pages 365-383

  Green, R M ^a  

^a LANCASTER UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032221952     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00004661     Document Type: Article

References (13)

1. C.K. Fan, Structure of a Hecke Algebra Quotient, Jour. Amer Math Soc 10 (1997), 139-167.
2. C.K. Fan and R.M. Green, On the affine Temperley-Lieb algebras, Jour. L.M.S., to appear.
3. P.J. Freyd and D.N. Yetter, Braided compact closed categories with applications to low dimensional topology, Adv. Math. 77 (1989), 156-182
4. J.J. Graham, Ph.D. Thesis, University of Sydney, 1995.
5. J.J. Graham and G.I. Lehrer, Cellular Algebras, Invent. Math. 123 (1996), 1-34.
6. R.M. Green, Generalized Temperley-Lieb algebras and decorated tangles, J. Knot Th. Ram. 7 (1998), 155-171.
7. J.E. Humphreys, Reflection Groups and Coxeter Groups, Cambridge University Press, 1990.
8. V.F.R. Jones, Hecke algebra representations of braid groups and link polynomials, Ann. of Math. (2) 126 (1987), 335-388.
9. L.H. Kauffman, State models and the Jones polynomial, Topology 26 (1987), 395-407
10. P. Martin and H. Saleur, The blob algebra and the periodic Temperley-Lieb algebra, Lett. Math. Phys., 30 (1994) no. 3, 189-206.
11. J.R. Stembridge, The Enumeration of Fully Commutative Elements of Coxeter Groups, J. Alg. Comb., to appear.
12. H.N.V. Temperley and E.H. Lieb, Relations between percolation and colouring problems and other graph theoretical problems associated with regular planar lattices: some exact results for the percolation problem, Proc. Roy. Soc. London Ser. A 322 (1971), 251-280.
13. B.W. Westbury, The representation theory of the Temperley-Lieb Algebras, Math. Z. 219 (1995), 539-565.