caa a22 4500 475738659 CHVBK 20180406123453.0 cr unu---uuuuu 170329e20001201xx s 000 0 eng 10.1007/s002220000088 doi (NATIONALLICENCE)springer-10.1007/s002220000088 Krammer Daan Mathematical Institute, University of Basle, Rheinsprung 21, 4051 Basle, Switzerland¶(e-mail: krammer@math.unibas.ch), Switzerland aut The braid group B4 is linear [Elektronische Daten] [Daan Krammer] Abstract. : We study a linear representation ρ:B n ? GL m (Z[q ±1,t ±1]) with m=n(n-1)/2. We will show that for n=4, this representation is faithful. We prove a relation with the new Charney length function. We formulate a conjecture implying that ρ is faithful for all n. Springer-Verlag Berlin Heidelberg, 2000 Inventiones mathematicae Springer Berlin Heidelberg 142/3(2000-12-01), 451-486 0020-9910 142:3<451 2000 142 222 https://doi.org/10.1007/s002220000088 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s002220000088 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Krammer Daan Mathematical Institute, University of Basle, Rheinsprung 21, 4051 Basle, Switzerland¶(e-mail: krammer@math.unibas.ch), Switzerland aut NATIONALLICENCE 773 0- Inventiones mathematicae Springer Berlin Heidelberg 142/3(2000-12-01), 451-486 0020-9910 142:3<451 2000 142 222 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer