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Experimental Mathematics Volume 4, 1995 - Issue 1
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Original Articles

Computational Construction of W-graphs of Heeke algebras H(q, n) for nup to 15

Mitsuyuki Ochiai Department of Information and Computer Sciences, Faculty of Science, Nara Women's University, Nara, 630, Japan E-mail: [email protected]
&
Fujio Kako Department of Information and Computer Sciences, Faculty of Science, Nara Women's University, Nara, 630, Japan E-mail: [email protected]
Pages 61-67 | Published online: 03 Apr 2012

REFERENCES

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  • Gyoja , A. 1986 . “Topological invariants of links and representations of Hecke algebras' Kyoto University. . [Gyoja 1986], preprint
  • Gyoja , A. 1987 . “Topological invariants of links and representations of Hecke algebras II' Kyoto University. . [Gyoja 1987], preprint
  • Hoefsmit , P. 1974 . “Representations of Hecke algebras of finite group with BN pairs of classical type' , Ph.D. thesis Vancouver : University of British Columbia. . [Hoefsmit 1974]
  • Jones , V. F. R. 1985 . “A polynomial invariant for knots via von Neumann algebras” . Bull. Amer. Math. Soc. , 12 : 103 – 111 . [Jones 1985]
  • Jones , V. F. R. 1987 . “Hecke algebra representations of braid groups and link polynomials” . Annals of Math. , 126 : 335 – 388 . [Jones 1987]
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  • Lascoux , A. and Schützenberger , M. P. 1981 . “Polynômes de Kazhdan–Lusztig pour les grassmanniennes'. ” . In Tableaux de Young et foncteurs de Schur en algèbre et geom.étrie, Torun 249 – 266 . Paris : Société Mathématique de France. . [Lascoux and Schützenberger 1981], 1980, Astérisque 87–88
  • Murakami , J. 1989 . “The parallel version of polynomial invariants of links” . Osaka J. Math. , 26 : 55 [Murakami 1989]
  • Naruse , H. 1994 . “On a relation between Specht module and left cell module of Hecke algebra of type n–1 Okayama University. . [Naruse 1994], preprint
  • Ochiai , M. and Murakami , J. 1994 . “Subgraphs of W-graphs and 3-parallel invariants of knots' . Proc. Japan Acad. (ser. A) , 70 : 267 – 270 . [Ochiai and Murakami 1994]
  • Wenzl , H. 1985 . “Representations of Hecke algebras and subfactors' , Thesis University of Pennsylvania. . [Wenzl 1985]

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