Tangles and Hopf algebras in braided categories

Alvarez-Gaumé, 1990, Duality and quantum groups, Nuclear Phys. B, 330, 347, 10.1016/0550-3213(90)90116-U

Bucur, 1968

Deligne, 1982, Tannakian categories, 900, 101

Drinfeld, 1989, On almost cocommutative Hopf algebras, Algebra and Analysis, 1, 30

Drinfeld, 1990, Leningrad Math. J., 1, 321

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

Freyd, 1992, Coherence theorems via knot theory, J. Pure. Appl. Algebra, 78, 49, 10.1016/0022-4049(92)90018-B

Freyd, 1985, A new polynomial invariant of knots and links, Bull. Amer. Math. Soc., 12, 239, 10.1090/S0273-0979-1985-15361-3

Joyal, 1986, Braided monoidal categories, Macquarie Mathematical Reports n0 860081

Joyal, 1988

Joyal, 1993, Braided tensor categories, Adv. in Math., 102, 20, 10.1006/aima.1993.1055

Kauffman, 1987, State models and the Jones polynomial, Topology, 26, 395, 10.1016/0040-9383(87)90009-7

Kelly, 1980, Coherence for compact closed categories, J. Pure Appl. Algebra, 19, 193, 10.1016/0022-4049(80)90101-2

Larson, 1973, Coseparable Hopf algebras, J. Pure Appl. Algebra, 3, 261, 10.1016/0022-4049(73)90013-3

Lyubashenko, 1990, Tensor categories and RCFT. I. Hopf algebras in rigid categories, II. Modular transformations, preprints ITP-90-30E, ITP-90-59E

Lane, 1963, Natural associativity and commutativity, Rice Univ. Studies, 49, 28

Lane, 1971

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

Majid, 1993, Braided groups, J. Pure Appl. Algebra, 86, 187, 10.1016/0022-4049(93)90103-Z

Majid, 1990, On q-regularisation preprint, Internat. J. Modern Phys. A, 5, 4689, 10.1142/S0217751X90001999

Majid, 1991, Rank of quantized universal enveloping algebras and modular functions, Comm. Math. Phys., 137, 249, 10.1007/BF02431880

Moore, 1989, Classicial and quantum conformal field theory, Comm. Math. Phys., 123, 177, 10.1007/BF01238857

Pareigis, 1977, Non-additive ring and module theory I, Publ. Math., 24, 189

Pareigis, 1977, Non-additive ring and module theory II, Publ. Math., 24, 351

Pareigis, 1988, Non-additive ring and module theory III, Publ. Math., 25, 177

Reshetikhin, 1988, Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links, I, Preprint, LOMI E-4-87

Reshetikhin, 1988, Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links, II, Preprint, LOMI E-17-87

Reshetikhin, 1989, Quasitriangular Hopf algebras, solutions of the Yang-Baxter equation and link invariants, Algebra and Analysis, 1, 169

Rivano, 1972, Categories Tannakiennes, Vol. 265

Shum, 1994, Tortile tensor categories, J. Pure Appl. Algebra, 93, 57, 10.1016/0022-4049(92)00039-T

Sweedler, 1969

Turaev, 1988, The Yang-Baxter equation and invariants of links, Invent, Math., 92, 527, 10.1007/BF01393746

Turaev, 1989, Operator link invariants and R-matrices, Izv. Acad. Nauk USSR, 53, 1073

Yetter, 1988, Markov algebras, Contemp. Math., 78, 705, 10.1090/conm/078/975104

Yetter, 1989, Category theoretic Representations of Knotted Graphs in S3, Adv. in Math, 77, 137, 10.1016/0001-8708(89)90017-0

D.N. Yetter, Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories, preprint.

D.N. Yetter, Quantum groups and representations of monoidal categories, Math. Proc. Cambridge Philos. Soc., to appear