The kauffman polynomial of links and representation theory

Osaka Journal of Mathematics

Volumn 24, Issue 4, 1987, Pages 745-758

  Murakami, Jun ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84972577256     PISSN: 00306126     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (13)

1. J.S. Birman: On the Jones polynomial of closed 3-braids, Invent. Math. 81 (1985), 287-294.
2. N. Bourbaki: Elements de mathematique, groupes et algebres de Lie, Chapitres 4, 5 et 6. Hermann, Paris, 1968.
3. R.D. Brandt, W.B.R. Lickorish, K.C. Millett: A polynomial invariant for un oriented knots and links, Invent. Math. 84 (1986), 563-573.
4. P. Freyd and D. Yetter, J. Hoste, W.B.R. Lickorish and K.C. Millett, A. Oc-neanu: A new polynomial invariant of knots and lindks, Bull. Amer. Math. Soc. 12 (1985), 239-246.
5. A. Gyoja: Topological invariants of links and representations of Hecke algebras II, preprint, Osaka University.
6. C.F. Ho: A new polynomial invariant for knots and links, preliminary report, Abstracts Amer. Math. Soc. 6 (1985), 300.
7. N. Iwahori: On the structure of the Hecke ring of a Chevalley group over a finite field, J. Fac. Sci. Univ. Tokyo 10 (part 2), (1964), 215-236.
8. V.F.R. Jones: A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. 12 (1985), 103-111.
9. V. F.R. Jones: Hecke algebra representations of braid groups and link polynomials, Ann. of Math. 126 (1987), 335-388.
10. T. Kanenobu: Examples on polynomial invariants of knots and links, preprint.
11. L.H. Kauffman: State models for knot polynomials, preprint.
12. W. B.R. Lickolish: A relationship between link polynomials, Math. Proc. Cambridge Philos. Soc. 100 (1986), 109-112.
13. J.H. Przytycki and P. Traczyk: Invariants of links of Conway type, to appear in Kobe J. Math.