Schur–Weyl-Type Duality for Quantized gl(1|1), the Burau Representation of Braid Groups, and Invariants of Tangled Graphs

DOI10.1007/978-0-8176-8277-4_16zbMath1268.20040arXiv1903.03681OpenAlexW1569842666MaRDI QIDQ2912091

Ben Webster, Catharina Stroppel, Nicolai Reshetikhin

Publication date: 14 September 2012

Published in: Progress in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.03681

zbMATH Keywords

braid groups Lie superalgebras quantized universal enveloping algebras Schur-Weyl duality \(R\)-matrices invariants of knots link polynomials nonreduced Burau representations reduced Burau representations tangled graphs

Mathematics Subject Classification ID

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Related Items (5)

Holonomy invariants of links and nonabelian Reidemeister torsion ⋮ First quantization of braided Majorana fermions ⋮ A new symmetry of the colored Alexander polynomial ⋮ A novel symmetry of colored HOMFLY polynomials coming from \(\mathfrak{sl}(N|M)\) superalgebras ⋮ On the Links–Gould invariant and the square of the Alexander polynomial

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