Schur-Weyl type duality for quantized gl(1|1),the Burau representation of braid groups and invariants of tangled graphs

N. Reshetikhin, C. Stroppel, B. Webster

We show that the Schur-Weyl type duality between $gl(1|1)$ and $G{L}_n$ gives a natural representation-theoretic setting for the relation between reduced and non-reduced Burau repres…