Monomials and temperley-lieb algebras

Journal of Algebra

Volumn 190, Issue 2, 1997, Pages 498-517

  Fan, C K ^a   Green, R M ^b  

^a INSTITUTE FOR ADVANCED STUDY   (United States)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031569742     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.6930     Document Type: Article

References (19)

1. 1. J. Du, Kazhdan-Lusztig bases and isomorphism theorems for q-Schur algebras, Contemp. Math. 139 (1992), 121-140.
2. n, J. Algebra 177 (1995), 385-408.
3. 3. C. K. Fan, Ph.D. thesis, Massachusetts Institute of Technology, 1995.
4. 4. C. K. Fan, A Hecke algebra quotient and some combinatorial applications, J. Algebraic Combinatorics 5 (3) (1996), 175-189.
5. 5. J. J. Graham, Ph.D. thesis, University of Sydney, 1995.
6. 6. J. J. Graham and G. I. Lehrer, Cellular algebras, Invent. Math. 123 (1996), 1-34.
7. 7. J. E. Humphreys, "Reflection Groups and Coxeter Groups," Cambridge Univ. Press, 1990.
8. 8. V. F. R. Jones, Hecke algebra representations of braid groups and link polynomials, Ann. of Math. (2) 126 (1987), 335-388.
9. 9. D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165-184.
10. n-1, J. Algebra 120 (1989), 74-89.
11. 11. G. Lusztig, Cells in affine Weyl groups, in "Algebraic Groups and Related Topics," Adv. Studies Pure Math. 6 (1985), 255-287; II, J. Algebra 109 (1987), 536-548; III, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), 223-243; IV, J. Fac. Sci. Univ. Tokyo Sect.IA Math. 36 (1989), 297-328.
12. 11. G. Lusztig, Cells in affine Weyl groups, in "Algebraic Groups and Related Topics," Adv. Studies Pure Math. 6 (1985), 255-287; II, J. Algebra 109 (1987), 536-548; III, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), 223-243; IV, J. Fac. Sci. Univ. Tokyo Sect.IA Math. 36 (1989), 297-328.
13. 11. G. Lusztig, Cells in affine Weyl groups, in "Algebraic Groups and Related Topics," Adv. Studies Pure Math. 6 (1985), 255-287; II, J. Algebra 109 (1987), 536-548; III, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), 223-243; IV, J. Fac. Sci. Univ. Tokyo Sect.IA Math. 36 (1989), 297-328.
14. 11. G. Lusztig, Cells in affine Weyl groups, in "Algebraic Groups and Related Topics," Adv. Studies Pure Math. 6 (1985), 255-287; II, J. Algebra 109 (1987), 536-548; III, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 34 (1987), 223-243; IV, J. Fac. Sci. Univ. Tokyo Sect.IA Math. 36 (1989), 297-328.
15. 12. G. Lusztig, Tight monomials in quantized enveloping algebras, in "Quantum Deformations of Algebras and Their Representations," Israel Math. Conf. Proc. 7 (1993), 117-132.
16. 13. Shi Jian-yi, The Kazhdan-Lusztig cells in the affine Weyl group, Lecture Notes in Math., Vol. 1179, Springer-Verlag, New York, 1986.
17. 14. J. R. Stembridge, On the fully commutative elements of Coxeter groups, J. Algebraic Combinatorics, to appear.
18. 15. 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.
19. 16. B. W. Westbury, The representation theory of the Temperley-Lieb algebras, Math. Z. 219 (1995), 539-565.