Universal K-matrices for quantum Kac-Moody algebras

DOI10.1090/ert/623OpenAlexW3043419019MaRDI QIDQ5106069

Andrea Appel, Bart Vlaar

Publication date: 16 September 2022

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09218

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Braid groups; Artin groups (20F36) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Spaces of linear operators; topological tensor products; approximation properties (46A32) Bialgebras (16T10)

Related Items

Stability of 𝚤canonical bases of irreducible finite type of real rank one, Pseudo-symmetric pairs for Kac-Moody algebras, Based modules over the \(\imath\) quantum group of type AI, Relative braid group symmetries on \(\imath\)quantum groups of Kac-Moody type, An intrinsic approach to relative braid group symmetries on ı$\imath$quantum groups, Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras, Kirillov-Reshetikhin modules and quantum \(K\)-matrices, Monodromy of the Casimir connection of a symmetrisable Kac-Moody algebra, The alternating presentation of \(U_q(\widehat{gl_2})\) from Freidel-Maillet algebras, Freidel-Maillet type presentations of \(U_q(sl_2)\), Integrable boundary conditions for staggered vertex models

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