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Constructing representations of braid groups. (English) Zbl 0845.20028
The paper gives a homological construction for the summands in the Jones representation which have two rows [V. F. R. Jones, Ann. Math., II. Ser. 126, 335-388 (1987; Zbl 0631.57005)]. The construction is related to, but more general than that offered by R. Lawrence [Commun. Math. Phys. 135, No. 1, 141-191 (1990; Zbl 0716.20022)]. The author’s method of constructing representations produces representations with many parameters. It also affords some insight into the faithfulness questions.

MSC:
20F36 Braid groups; Artin groups
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