@incollection{SB_1999-2000__42__389_0, author = {Turaev, Vladimir}, title = {Faithful linear representations of the braid groups}, booktitle = {S\'eminaire Bourbaki : volume 1999/2000, expos\'es 865-879}, series = {Ast\'erisque}, note = {talk:878}, pages = {389--409}, publisher = {Soci\'et\'e math\'ematique de France}, number = {276}, year = {2002}, mrnumber = {1886767}, zbl = {1050.20026}, language = {en}, url = {http://www.numdam.org/item/SB_1999-2000__42__389_0/} }
TY - CHAP AU - Turaev, Vladimir TI - Faithful linear representations of the braid groups BT - Séminaire Bourbaki : volume 1999/2000, exposés 865-879 AU - Collectif T3 - Astérisque N1 - talk:878 PY - 2002 SP - 389 EP - 409 IS - 276 PB - Société mathématique de France UR - http://www.numdam.org/item/SB_1999-2000__42__389_0/ LA - en ID - SB_1999-2000__42__389_0 ER -
%0 Book Section %A Turaev, Vladimir %T Faithful linear representations of the braid groups %B Séminaire Bourbaki : volume 1999/2000, exposés 865-879 %A Collectif %S Astérisque %Z talk:878 %D 2002 %P 389-409 %N 276 %I Société mathématique de France %U http://www.numdam.org/item/SB_1999-2000__42__389_0/ %G en %F 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
-[Bir] Braids, links, and mapping class groups, Ann. of Math. Stud., vol. 82, Princeton Univ. Press, Princeton, N.J., 1974. | MR | Zbl
-[BW] Braids, link polynomials and a new algebra, Trans. Amer. Math. Soc. 313 (1989), 249-273. | MR | Zbl
, -[Br] On algebras which are connected with the semisimple continuous groups, Ann. of Math. 38 (1937), 857-872. | MR | Zbl
-[Bu] Über Zopfgruppen und gleichsinnig verdrillte Verkettungen, Abh. Math. Semin. Hamburg. Univ. 11 (1935), 179-186. | Zbl
-[Ch] Geodesic automation and growth functions for Artin groups of finite type, Math. Ann. 301 (1995), 307-324. | MR | Zbl
-[DFG] On the linearity of automorphism groups of free groups, Arch. Math. (Basel) 38 (1982), 404-409. | MR | Zbl
, , -[FLP] Travaux de Thurston sur les surfaces, Astérisque 66-67 (1991), Soc. Math. France, Paris. | Numdam | MR | Zbl
, , -[FP] The automorphism group of a free group is not linear, J. Algebra 149 (1992), 494-499. | MR | Zbl
, -[Ga] The braid group and other groups, Quart. J. Math. Oxford 20 (1969), 235-254. | MR | Zbl
-[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 | Zbl
-[Iv2] Subgroups of Teichmüller modular groups, Transl. of Math. Monographs, vol. 115. Amer. Math. Soc., Providence, RI, 1992. | MR | Zbl
-[Jo] Hecke algebra representations of braid groups and link polynomials, Ann. of Math. 126 (1987), 335-388. | MR | Zbl
-[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
-[Kr2] Braid Groups are linear, Preprint, Basel (2000). | MR
-[La] Homological representations of the Hecke algebra, Comm. Math. Phys. 135 (1990), 141-191. | MR | Zbl
-[LP] The Burau representation is not faithful for , Topology 32 (1993), 439-447. | Zbl
, -[Mi] A note on words in braid monoids, J. Algebra 215 (1999), 366- 377. | MR | Zbl
-[Mo] The Burau representation of the braid group is unfaithful for large , Bull. Amer. Math. Soc. (N.S.) 25 (1991), 379-384. | MR | Zbl
-[Mu] The Kauffman polynomial of links and representation theory, Osaka J. Math. 24 (1987), 745-758. | MR | Zbl
-[We] Quantum groups and subfactors of type , and , Comm. Math. Phys. 133 (1990), 383-432. | MR | Zbl
-[Zi] On Krammer's Representation of the Braid Group, Preprint math.RT/0002136.
-