Hall algebras and quantum symmetric pairs I: Foundations

DOI10.1112/plms.12423arXiv1901.11446OpenAlexW4207004201MaRDI QIDQ6134571

Ming Lu, Weiqiang Wang

Publication date: 22 August 2023

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

Full work available at URL: https://arxiv.org/abs/1901.11446

zbMATH Keywords

quantum groupsGorenstein algebrasHall algebrasquantum symmetric pairs

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Derived categories, triangulated categories (18G80) Stable module categories (18G65)

Related Items (15)

Equivariant K-theory approach to \(\imath\)-quantum groups ⋮ \(\imath\)Quantum groups of split type via derived Hall algebras ⋮ Braid group action and quasi-split affine 𝚤quantum groups I ⋮ Quantum Borcherds–Bozec algebras via semi‐derived Ringel–Hall algebras II: Braid group actions ⋮ Relative braid group symmetries on \(\imath\)quantum groups of Kac-Moody type ⋮ Hall algebras and quantum symmetric pairs of Kac-Moody type ⋮ An intrinsic approach to relative braid group symmetries on ı$\imath$quantum groups ⋮ Hall algebras and quantum symmetric pairs of Kac-Moody type II ⋮ Finite Young wall model for representations of \(\imath\,\)quantum group \(\mathbf{U}^{\jmath}\) ⋮ 𝚤Hall algebras of weighted projective lines and quantum symmetric pairs ⋮ Semi-derived Ringel-Hall algebras and Drinfeld double ⋮ A Drinfeld-type presentation of affine \(\imath\) quantum groups. II: Split BCFG type ⋮ Braid group symmetries on quasi-split \(\imath\)quantum groups via \(\imath\)Hall algebras ⋮ Serre-Lusztig relations for \({\iota}\) quantum groups. III ⋮ 𝚤Hall algebra of the projective line and 𝑞-Onsager algebra

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