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

Published 8 Mar 2019 in math.RT, math-ph, math.MP, and math.QA | (1903.03681v1)

Abstract: 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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