Shuffle algebra realizations of type \(A\) super Yangians and quantum affine superalgebras for all Cartan data

DOI10.1007/s11005-020-01287-9zbMath1464.17021arXiv1909.13732OpenAlexW2975299551MaRDI QIDQ2194099

Aleksander Tsymbaliuk

Publication date: 25 August 2020

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.13732

zbMATH Keywords

shuffle algebraquantum affine superalgebrasuper Yangian

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (13)

A note on odd reflections of super Yangian and Bethe ansatz ⋮ Shuffle algebra realization of quantum affine superalgebra \(U_v( \widehat{\mathfrak{D}}(2, 1; \theta))\) ⋮ On generators and defining relations of quantum affine superalgebra Uq(𝔰𝔩̂m|n) ⋮ A note on the center of the super Yangian \(Y_{M|N}(\mathfrak{s})\) ⋮ A Drinfeld-type presentation of the orthosymplectic Yangians ⋮ The centre of the modular super Yangian Ym|n$Y_{m|n}$ ⋮ Quantum loop groups and shuffle algebras via Lyndon words ⋮ Finite \(W\)-superalgebras via super Yangians ⋮ Yangian of the general linear Lie superalgebra ⋮ PBWD bases and shuffle algebra realizations for \(U_v(L\mathfrak{sl}_n)\), \(U_{v_1,v_2} (L\mathfrak{sl}_n)\), \(U_v (L\mathfrak{sl}(m|n))\) and their integral forms ⋮ Braid actions on quantum toroidal superalgebras ⋮ K-theoretic Hall algebras, quantum groups and super quantum groups ⋮ Odd reflections in the Yangian associated with \(\mathfrak{gl}(m|n)\)

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