Modular invariance property and spin models attached to cyclic group association schemes

Journal of Statistical Planning and Inference

Volumn 51, Issue 2, 1996, Pages 107-124

  Bannai, Etsuko ^a  

^a KYUSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030140608     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/0378-3758(95)00074-7     Document Type: Article

References (14)

1. Bannai, E. (1993). Association schemes and fusion algebras (an introduction). J. Algebraic Combin. 2, 327-344.
2. Bannai, E., E. Bannai, T. Ikuta and K. Kawagoe (1992). Spin models constructed from the Hamming association schemes. Proc. 10th Algebraic Combinatorics Symp. at Gifu Univ. 91-106.
3. Bannai, E. and E. Bannai, (1993) Generalized spin models and association schemes. Memoirs Fac. Sci. Kyushu Univ. Ser. A, 47(2), 397-409.
4. Bannai, E. and E. Bannai (1996a). Spin models on finite cyclic groups. J. Algebraic Combin. (to appear).
5. Bannai, E. and E. Bannai (1996b). Generalized spin models (four-weight spin models). Pacific J. Math. (to appear).
6. Bannai, E., E. Bannai and F. Jaeger (1996). in preparation.
7. Bannai, E. and T. Ito (1984). Algebraic Combinatorics I: Association Schemes, Benjamin/Cummings, Menlo Park CA.
8. de la Harpe, P. (1995). Spin models for link polynomials, strongly regular graphs and Jaeger's Higman-Sims model. Preprint.
9. Goldschmidt, D.M. and V.F.R. Jones (1989). Metaplectic link invariants. Geom. Dedicata 31, 165-191.
10. Jaeger, F. (1992). Strongly regular graphs and spin models for the Kaufmann polynomial. Geom. Dedicata 44, 23-52.
11. Jones, V.F.R. (1989). On knot invariants related to some statistical mechanical models. Pacific J. Math. 137, 311-334.
12. Kauffmann, L.H. (1990). An invariant of regular isotopy. Trans. Amer. Math. Soc. 318(2), 417-471.
13. Kawagoe, K., A. Munemasa and Y. Watatani (1995). Generalized spin models. Preprint.
14. Kobayashi, T., H. Murakami and J. Murakami (1988). Cyclotomic invariants for links. Proc. Japan Acad. 64A, 235-238.