Generalized Long-Moody representations of braid groups

Mathematics – Geometric Topology

Scientific paper

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8 pages, no figures

Scientific paper

Long and Moody gave a method of constructing representations of the braid
group B_n. We discuss some ways to generalize their construction. One of these
gives representations of subgroups of B_n, including the Gassner representation
of the pure braid group as a special case. Another gives representations of the
Hecke algebra.

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