Artículos de revistas
Some Properties Of Algebra Bhn(l, M)
Registro en:
Reports On Mathematical Physics. , v. 41, n. 3, p. 259 - 269, 1998.
344877
2-s2.0-0032093416
Autor
Da Costa G.A.T.F.
Institución
Resumen
The algebra BHn(l, m) is defined by generators satisfying the relations of the braid group algebra and the Hecke algebra of projectors plus additional relations mixing them up. Originally, it appeared as the algebra closed by the Yang-Baxter operators of a class of vertex models in statistical mechanics. In this paper we investigate some of the algebraic and geometric properties of this algebra. 41 3 259 269 Artin, E., (1947) Ann. Math., 48, p. 101 Temperley, H.N.V., Lieb, E.H., (1971) Proc. R. Soc., A322, p. 251 Bourbaki, N., (1968) Groupes et Algebre de Lie, , Hermann, Paris Chapter 4 Birman, J., Wenzl, H., (1989) Trans. Amer. Math. Soc., 313, p. 249 Murakami, J., (1987) Osaka J. Math., 24, p. 745 Da Costa, G.A.T.F., (1995) Rep. Math. Phys., 35, p. 1 Jones, V., (1985) Bull. Amer. Math. Soc., 129, p. 103 Freyd, P., Hoste, J., Lickerish, W.B.R., Millett, K., Ocneanu, A., Yetter, D., (1985) Bull. Amer. Math. Soc., 12, p. 239 Kauffman, L., (1990) Trans. Amer. Math. Soc., 318, p. 417 De La Harpe, P., Kervaire, M., Weber, C., (1986) L'enseignement Mathematique, 32, p. 271 Alexander, J., (1923) Proc. Nat. Acad., 9, p. 93 Birman, J.S., (1974) Ann. Math. Studies, 82 Wadati, M., Deguchi, T., Akutsu, Y., (1989) Phys. Rep., 180, p. 247