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

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keywords buraudualityschur-weyltypebraidgivesgraphsgroups

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We show that the Schur-Weyl type duality between $gl(1|1)$ and $GL_n$ gives a natural representation-theoretic setting for the relation between reduced and non-reduced Burau representations.

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

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