Canonical bases arising from quantum symmetric pairs
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Publication:1671168
DOI10.1007/S00222-018-0801-5zbMath1416.17001arXiv1610.09271OpenAlexW2963888260WikidataQ129961344 ScholiaQ129961344MaRDI QIDQ1671168
Publication date: 6 September 2018
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.09271
Related Items (45)
Stability of 𝚤canonical bases of irreducible finite type of real rank one ⋮ QUASI-SPLIT SYMMETRIC PAIRS OF AND THEIR SCHUR ALGEBRAS ⋮ Multiparameter quantum Schur duality of type B ⋮ Equivariant K-theory approach to \(\imath\)-quantum groups ⋮ Hall algebras and quantum symmetric pairs. II: Reflection functors ⋮ Serre-Lusztig relations for \(\imath\) quantum groups ⋮ Classical weight modules over \(\imath\)quantum groups ⋮ Quasi-solvable lattice models for and Demazure atoms and characters ⋮ Ribbon braided module categories, quantum symmetric pairs and Knizhnik-Zamolodchikov equations ⋮ \(\imath\)Quantum groups of split type via derived Hall algebras ⋮ Kazhdan-Lusztig theory of super type D and quantum symmetric pairs ⋮ Based modules over the \(\imath\) quantum group of type AI ⋮ \(\imath\)Schur duality and Kazhdan-Lusztig basis expanded ⋮ Cells in modified \(\imath\)quantum groups of type AIII and related Schur algebras ⋮ Quantum symmetric pairs ⋮ Stokes phenomenon and reflection equations ⋮ Hall algebras and quantum symmetric pairs I: Foundations ⋮ Hall algebras and quantum symmetric pairs 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 ⋮ Crystal bases of modified \(\imath\,\)quantum groups of certain quasi-split types ⋮ Hall algebras and quantum symmetric pairs of Kac-Moody type II ⋮ Affine flag varieties and quantum symmetric pairs ⋮ Polynomial functors and two-parameter quantum symmetric pairs ⋮ 𝚤Hall algebras of weighted projective lines and quantum symmetric pairs ⋮ Kirillov-Reshetikhin modules and quantum \(K\)-matrices ⋮ Braid group actions for quantum symmetric pairs of type AIII/AIV ⋮ Quiver varieties and symmetric pairs ⋮ Universal K-matrix for quantum symmetric pairs ⋮ Quasitriangular coideal subalgebras of Uq(g) in terms of generalized Satake diagrams ⋮ Quantum symmetric pairs at roots of 1 ⋮ Global crystal bases for integrable modules over a quantum symmetric pair of type AIII ⋮ A Serre presentation for the \(\imath\)quantum groups ⋮ Canonical bases for tensor products and super Kazhdan-Lusztig theory ⋮ Formulae of \(\iota\)-divided powers in \(\mathbf{U}_q(\mathfrak{sl}_2)\) ⋮ Hall algebras and quantum symmetric pairs. III: Quiver varieties ⋮ Quantum flag manifolds, quantum symmetric spaces and their associated universal \(K\)-matrices ⋮ Symmetric pairs for Nichols algebras of diagonal type via star products ⋮ A topological origin of quantum symmetric pairs ⋮ Canonical bases arising from quantum symmetric pairs of Kac–Moody type ⋮ Braid group symmetries on quasi-split \(\imath\)quantum groups via \(\imath\)Hall algebras ⋮ Factorisation of quasi \(K\)-matrices for quantum symmetric pairs ⋮ Cartan subalgebras for quantum symmetric pair coideals ⋮ Formulae of \(\imath\)-divided powers in \(\mathbf{U}_q(\mathfrak{sl}_2)\). II ⋮ Representations of weakly triangular categories
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