Quantum shuffles and quantum supergroups of basic type

DOI10.4171/QT/81zbMath1364.17017arXiv1310.7523MaRDI QIDQ330015

Mohammad Hasan, M. Dambrine

Publication date: 24 October 2016

Published in: Quantum Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7523

zbMATH Keywords

Cartan datumshuffle algebraPBW basiscanonical basisquantum supergroupsword

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20)

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Representations of spin quiver Hecke algebras for orthosymplectic Lie superalgebras ⋮ Quantum supergroups. V: Braid group action ⋮ Canonical bases for the quantum supergroup U(𝔤𝔩_3|1) ⋮ Crystal base of the negative half of the quantum superalgebra \(U_q( \mathfrak{gl}(m | n))\) ⋮ Canonical bases for the quantum supergroups \(\mathbf U(\mathfrak{gl}_{m|n})\) ⋮ Quantum loop groups and shuffle algebras via Lyndon words ⋮ Quantum supergroups. IV: The modified form ⋮ Tetrahedron and 3D reflection equation from PBW bases of the nilpotent subalgebra of quantum superalgebras ⋮ A categorification of the positive half of quantum 𝑔𝑙(𝑚|1)

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