Braided groups

Journal of Pure and Applied Algebra - Tập 86 Số 2 - Trang 187-221 - 1993
Shahn Majid1
1Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge, CB3 9EW, United Kingdom

Tóm tắt

Từ khóa


Tài liệu tham khảo

Connes, 1986, Non-commutative differential geometry, Technical Report 62

Day, 1969, On Closed Categories of Functors, Vol. 137

Deligne, 1982, Tannakian Categories, Vol. 900

Drinfeld, 1987, Quantum groups, 798

Freyd, 1989, Braided compact closed categories with applications to low dimensional topology, Adv. in Math., 77, 156, 10.1016/0001-8708(89)90018-2

Grothendiek, 1972, Theorie des Topos et Cohomologie Etale des Schemas (SGA 4), Vol 269

Gurevich, 1986, The Yang-Baxter equations and a generalization of formal Lie theory, Stockholm Mathematics Reports, 33

Joyal, 1986, Braided monoidal categories

Joyal, 1991, The geometry of tensor calculus, I, Adv. in Math., 88, 55, 10.1016/0001-8708(91)90003-P

Lyubashenko, 1991, Tangles and Hopf algebras in braided categories

Lane, 1974, Categories for the Working Mathematician, Vol. 5

Majid, 1991, Braided groups and algebraic quantum field theories, Lett. Math. Phys., 22, 167, 10.1007/BF00403542

Majid, 1991, Doubles of quasitriangular Hopf algebras, Comm. Algebra, 19, 3061, 10.1080/00927879108824306

Majid, 1991, Examples of braided groups and braided matrices, J. Math. Phys., 32, 3246, 10.1063/1.529485

Majid, 1991, Quantum groups and quantum probability, 333

Majid, 1992, Rank of quantum groups and braided groups in dual form, Vol. 1510, 79

Majid, 1991, Reconstruction theorem and rational conformal field theories, Internat. J. Modern Phys. A, 6, 4359, 10.1142/S0217751X91002100

Majid, 1991, Representations, duals and quantum doubles of monoidal categories, Rend. Circ. Mat., 197

Majid, 1990, Quasitriangular Hopf algebras and Yang-Baxter equations, Internat. J. Modern Phys. A, 5, 1, 10.1142/S0217751X90000027

S. Majid, Cross products by braided groups and bosonization, J. Algebra, to appear.

Majid, 1993, Transmutation theory and rank for quantum braided groups, Math. Proc. Cambridge Philos. Soc., 113, 45, 10.1017/S0305004100075769

Makkai, 1989

Manin, 1988, Quantum groups and non-commutative geometry

Pareigis, 1981, Morita equivalence of module categories with tensor products, Comm. Algebra, 9, 1455, 10.1080/00927878108822660

Pareigis, 1981, A non-commutative non-cocommutative Hopf algebra in nature, J. Algebra, 70, 356, 10.1016/0021-8693(81)90224-6

Radford, 1991, On the quasitriangular structures of a semisimple Hopf algebra, J. Algebra, 141, 354, 10.1016/0021-8693(91)90236-2

Saavedra, 1972, Catégories Tannakiennes, Vol. 265

A. Rozenberg, unpublished.

Sweedler, 1969

Ulbrich, 1990, On Hopf algebras and rigid monoidal categories, Israel J. Math., 72, 252, 10.1007/BF02764622

Yetter, 1990, Quantum groups and representations of monoidal categories, Math. Proc. Cambridge Philos. Soc., 108, 261, 10.1017/S0305004100069139