@article{CTGDC_1998__39_3_163_0, author = {Crane, L. and Yetter, D. N.}, title = {Deformations of (bi)tensor categories}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {163--180}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {39}, number = {3}, year = {1998}, mrnumber = {1641842}, zbl = {0916.18005}, language = {en}, url = {http://archive.numdam.org/item/CTGDC_1998__39_3_163_0/} }
TY - JOUR AU - Crane, L. AU - Yetter, D. N. TI - Deformations of (bi)tensor categories JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 1998 SP - 163 EP - 180 VL - 39 IS - 3 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://archive.numdam.org/item/CTGDC_1998__39_3_163_0/ LA - en ID - CTGDC_1998__39_3_163_0 ER -
%0 Journal Article %A Crane, L. %A Yetter, D. N. %T Deformations of (bi)tensor categories %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 1998 %P 163-180 %V 39 %N 3 %I Dunod éditeur, publié avec le concours du CNRS %U http://archive.numdam.org/item/CTGDC_1998__39_3_163_0/ %G en %F CTGDC_1998__39_3_163_0
Crane, L.; Yetter, D. N. Deformations of (bi)tensor categories. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 39 (1998) no. 3, pp. 163-180. http://archive.numdam.org/item/CTGDC_1998__39_3_163_0/
[1] On the Vassiliev knot invariants, Topology 34 (2) (1995) 423ff. | MR | Zbl
,[2] Vertex models, quantum groups and Vassiliev's knot invariants, preprint.
and ,[3] A Guide to Quantum Groups, Cambridge University Press, Cambridge, 1994. | Zbl
and ,[4] Clock and category, is quantum gravity algebraic? JMP 36 (1995), 6180ff. | MR | Zbl
,[5] Four dimensional topological quantum field theory, Hopf categories, and the canonical bases, JMP 35 (10) (1994), 5136ff. | MR | Zbl
and ,[6] Examples of categorification, Cahiers de Top. et Geom. Diff. Cat. (to appear). | Numdam | MR | Zbl
and ,[7] On algebraic structures implicit in TQFTs, JKTR (to appear).
and ,[8] Topological gauge theories and group cohomology, CMP 129 (1990), 393-429. | MR | Zbl
and ,[9] Functors between tensored categories, Invent. Math. 1 (1966) 221-228. | MR | Zbl
,[10] Quantization of Lie bialgebras I, e-print q-alg 9506005.
and ,[11] Algebras, bialgebras quantum groups and algebraic deformations, in Deformation Theory and Quantum Groups with Applications to Mathematical Physics (M. Gerstenhaber and J. Stasheff, eds.), Contemporary Mathematics 134, AMS, Providence RI, 1992. | MR | Zbl
and ,[12] 2-categories and Zamolodchikov's tetrahedral equation, preprint. | MR
and ,[13] Localization for Quantum groups, preprint. | MR | Zbl
and ,[14] Canonical bases in tensor products, Proc Nat Acad Sci 89 (1992), 8177-8179. | MR | Zbl
,[15] Introduction to Quantum Groups, Birkhauser, Boston, 1993. | MR | Zbl
,[16] Categories for the Working Mathematician, Springer Verlag, Berlin, 1971. | MR | Zbl
,[17] Quantum models of spacetime based on recoupling theory, D.Phil. thesis, Oxford University, 1983.
,[18] Quantization of Lie bialgebras, Duke Math Journal Int Math Res Notices, 7, 143-151. | MR | Zbl
,[19] Braided categories and Vassiliev invariants, II, unpublished lecture, Workshop on Discriminant Loci, Utrecht University, August 26, 1996.
,[20] Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories, in Deformation Theory and Quantum Groups with Applications to Mathematical Physics (M. Gerstenhaber and J. Stasheff, eds.), Contemporary Mathematics 134, AMS, Providence RI, 1992. | MR | Zbl
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