@incollection{SB_1999-2000__42__389_0, author = {Turaev, Vladimir G.}, title = {Faithful linear representations of the braid groups}, booktitle = {S\'eminaire Bourbaki : volume 1999/2000, expos\'es 865-879}, author = {Collectif}, series = {Ast\'erisque}, note = {talk:878}, publisher = {Soci\'et\'e math\'ematique de France}, number = {276}, year = {2002}, zbl = {1050.20026}, mrnumber = {1886767}, language = {en}, url = {www.numdam.org/item/SB_1999-2000__42__389_0/} }
Turaev, Vladimir. Faithful linear representations of the braid groups, dans Séminaire Bourbaki : volume 1999/2000, exposés 865-879, Astérisque, no. 276 (2002), Exposé no. 878, 21 p. http://www.numdam.org/item/SB_1999-2000__42__389_0/
[Bi1] The Burau representation is not faithful for , Preprint math.GT/9904100.
-[Bi2] Braid groups are linear, Preprint math. GR/0005038. | MR 1815219
-[Bir] Braids, links, and mapping class groups, Ann. of Math. Stud., vol. 82, Princeton Univ. Press, Princeton, N.J., 1974. | MR 375281 | Zbl 0305.57013
-[BW] Braids, link polynomials and a new algebra, Trans. Amer. Math. Soc. 313 (1989), 249-273. | MR 992598 | Zbl 0684.57004
, -[Br] On algebras which are connected with the semisimple continuous groups, Ann. of Math. 38 (1937), 857-872. | MR 1503378 | Zbl 0017.39105
-[Bu] Über Zopfgruppen und gleichsinnig verdrillte Verkettungen, Abh. Math. Semin. Hamburg. Univ. 11 (1935), 179-186. | Zbl 0011.17801
-[Ch] Geodesic automation and growth functions for Artin groups of finite type, Math. Ann. 301 (1995), 307-324. | MR 1314589 | Zbl 0813.20042
-[DFG] On the linearity of automorphism groups of free groups, Arch. Math. (Basel) 38 (1982), 404-409. | MR 666911 | Zbl 0476.20025
, , -[FLP] Travaux de Thurston sur les surfaces, Astérisque 66-67 (1991), Soc. Math. France, Paris. | MR 1134426 | Zbl 0446.57010
, , -[FP] The automorphism group of a free group is not linear, J. Algebra 149 (1992), 494-499. | MR 1172442 | Zbl 0780.20023
, -[Ga] The braid group and other groups, Quart. J. Math. Oxford 20 (1969), 235-254. | MR 248801 | Zbl 0194.03303
-[Iv1] Automorphisms of Teichmüller modular groups, Topology and geometry - Rohlin Seminar, Lecture Notes in Math., vol. 1346, Springer, Berlin-New York (1988), 199-270. | MR 970079 | Zbl 0657.57004
-[Iv2] Subgroups of Teichmüller modular groups, Transl. of Math. Monographs, vol. 115. Amer. Math. Soc., Providence, RI, 1992. | MR 1195787 | Zbl 0776.57001
-[Jo] Hecke algebra representations of braid groups and link polynomials, Ann. of Math. 126 (1987), 335-388. | MR 908150 | Zbl 0631.57005
-[Ka] L'ordre de Dehornoy sur les tresses, Séminaire Bourbaki, exposé 865 (novembre 1999). This volume. | Numdam
-[Kr1] The braid group is linear, Preprint, Basel (1999). | MR 1804157
-[Kr2] Braid Groups are linear, Preprint, Basel (2000). | MR 1888796
-[La] Homological representations of the Hecke algebra, Comm. Math. Phys. 135 (1990), 141-191. | MR 1086755 | Zbl 0716.20022
-[LP] The Burau representation is not faithful for , Topology 32 (1993), 439-447. | Zbl 0810.57004
, -[Mi] A note on words in braid monoids, J. Algebra 215 (1999), 366- 377. | MR 1684142 | Zbl 0937.20017
-[Mo] The Burau representation of the braid group is unfaithful for large , Bull. Amer. Math. Soc. (N.S.) 25 (1991), 379-384. | MR 1098347 | Zbl 0751.57005
-[Mu] The Kauffman polynomial of links and representation theory, Osaka J. Math. 24 (1987), 745-758. | MR 927059 | Zbl 0666.57006
-[We] Quantum groups and subfactors of type , and , Comm. Math. Phys. 133 (1990), 383-432. | MR 1090432 | Zbl 0744.17021
-[Zi] On Krammer's Representation of the Braid Group, Preprint math.RT/0002136.
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