Quasitriangular coideal subalgebras of Uq(g) in terms of generalized Satake diagrams

DOI10.1112/blms.12360zbMath1504.17022arXiv1807.02388OpenAlexW3105392965MaRDI QIDQ5135350

Bart Vlaar, Vidas Regelskis

Publication date: 20 November 2020

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.02388

zbMATH Keywords

involutive automorphismquantized universal enveloping algebracoideal subalgebrafixed-point subalgebraSatake diagramsemi-simple complex Lie algebraquasi-triangular coideal subalgebrauniversal \(K\)-matrix

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (12)

Stability of 𝚤canonical bases of irreducible finite type of real rank one ⋮ The bar involution for quantum symmetric pairs – hidden in plain sight ⋮ Pseudo-symmetric pairs for Kac-Moody algebras ⋮ Based modules over the \(\imath\) quantum group of type AI ⋮ Universal K-matrices for quantum Kac-Moody algebras ⋮ Generalized Schur-Weyl dualities for quantum affine symmetric pairs and orientifold KLR algebras ⋮ Kirillov-Reshetikhin modules and quantum \(K\)-matrices ⋮ Boundary from bulk integrability in three dimensions: 3D reflection maps from tetrahedron maps ⋮ Defining relations of quantum symmetric pair coideal subalgebras ⋮ Actions of skew braces and set-theoretic solutions of the reflection equation ⋮ Canonical bases arising from quantum symmetric pairs of Kac–Moody type ⋮ Matrix product solution to the reflection equation associated with a coideal subalgebra of \(U_q(A^{(1)}_{n-1})\)

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