@article{RCP25_1992__43__107_0, author = {Majid, Shahn}, title = {Braided Groups}, journal = {Les rencontres physiciens-math\'ematiciens de Strasbourg -RCP25}, volume = {43}, year = {1992}, pages = {107-146}, language = {en}, url = {http://dml.mathdoc.fr/item/RCP25_1992__43__107_0} }
Majid, Shahn. Braided Groups. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Tome 43 (1992) pp. 107-146. http://gdmltest.u-ga.fr/item/RCP25_1992__43__107_0/
[1] Non-commutative differential geometry. Technical Report 62, IHES, 1986. | Numdam | Zbl 0592.46056
.[2] On closed categories of functors. Number 137 in Lec. Notes in Math. Springer, 1969. | MR 272852 | Zbl 0367.18008
.[3] Tannakian categories. Number 900 in Lec. Notes in Math. Springer, 1982. | Zbl 0477.14004
and .[4] Quantum groups. In A. Gleason, editor, Proceedings of the ICM, pages 798-820, Rhode Island, 1987. AMS. | MR 934283 | Zbl 0667.16003
.[5] Braided compact closed categories with applications to low dimensional topology. Adv. Math., 77:156-182, 1989. | MR 1020583 | Zbl 0679.57003
and .[6] Theorie des topos et cohomologie etale des schemas (sga 4). Number 269 in Lec. Notes Math. Springer, 1972. | MR 463174
and .[7] The Yang-Baxter equations and a generalization of formal Lie theory. In D. Leites, editor, Seminar on Supermanifolds, No. 4, number 24 in Stockholm Mathematics Reports, pages 33-123. 1986. | MR 852270 | Zbl 0627.17006
.[8] Braided monoidal categories. Mathematics Reports 86008, Macquarie University, 1986. | Zbl 0845.18005
and .[9] The geometry of tensor calculus, I. Adv. Math., 88:55-112, 1991. | MR 1113284 | Zbl 0738.18005
and .[10] Categories for the Working Mathematician. Springer, 1974. GTM vol. 5. | MR 1712872 | Zbl 0906.18001
.[11] Tangles and hopf algebras in braided categories. Preprint, 1991. | MR 1324033 | Zbl 0823.18002
.[12] Braided groups and algebraic quantum field theories. Lett. Math. Phys., 22: 167-176, 1991 ; | MR 1129171 | Zbl 0745.16019
.Some physical applications of category theory, in C. Bartocci et al editors, Lecture Notes in Physics 375:131-142, 1990. | MR 1134150 | Zbl 0751.17028
.[13] Doubles of quasitriangular Hopf algebras. Comm. Algebra, 19:3061-3073, 1991. | MR 1132774 | Zbl 0767.16014
.[14] Examples of braided groups and braided matrices. J. Math. Phys. 32:3246- 3253, 1991. | MR 1137374 | Zbl 0821.16042
.[15] Quantum groups and quantum probability. In L. Accardi et al, editors, Quantum Probability and Related Topics VI, Proc. Trento, 1989. World Sci. | MR 1149836 | Zbl 0932.81018
.[16] Rank of quantum groups and braided groups in dual form. In Proc. of the Euler Institute, October 1990. To appear. | MR 1183479 | Zbl 0762.17015
.[17] Reconstruction theorems and rational conformal field theories, 1989. To appear Int. J. Mod. Phys. | MR 1126612 | Zbl 0728.17011
.[18] Representations, duals and quantum doubles of monoidal categories, 1989. To appear Suppl. Rend. Circ. Mat. Palermo. | MR 1151906 | Zbl 0762.18005
.[19] Quasitriangular Hopf algebras and Yang-Baxter equations. Int. J. Modern Physics A, 5(1):1-91, 1990. | MR 1027945 | Zbl 0709.17009
.[20] Cross products by braided groups and bosonization, 1991. To appear J. Algebra. | MR 1257312 | Zbl 0807.16036
.[21] Transmutation theory and rank for quantum braided groups. Preprint, DAMTP/91-10, 1991. | MR 1188817 | Zbl 0781.17006
.[22] Accessible categories: the foundations of categorical model theory. AMS 1989. | MR 1031717 | Zbl 0703.03042
and .[23] Quantum groups and non - commutative geometry. Technical report, Centre de Recherches Math, Montreal, 1988. | MR 1016381 | Zbl 0724.17006
.[24] Morita equivalence of module categories with tensor products. Comm. Algebra, 9:1455, 1981. | MR 630319 | Zbl 0472.18005
.[25] A non-commutative non-cocommutative Hopf algebra in nature. J. Algebra, 70:356, 1981. | Zbl 0463.18003
.[26] On the quasitriangular structures of a semisimple Hopf algebra. J. Algebra, 1991. | MR 1125700 | Zbl 0733.16015
.[27] Catégories tannakiennes. Springer Lect. Notes in Math, 265, 1972. | MR 338002 | Zbl 0241.14008
.[28] Hopf algebras and Lie algebras in categories with multiplication. Preprint, 1978. In Russian.
.[29] Hopf Algebras. Benjamin, 1969. | MR 252485 | Zbl 0194.32901
.[30] On Hopf algebras and rigid monoidal categories. Israel J. Math, 72:252, 1990. | MR 1098991 | Zbl 0727.16029
.[31] Quantum groups and representations of monoidal categories. Math. Proc. Camb. Phil. Soc., 108:261, 1990. | MR 1074714 | Zbl 0712.17014
.