Hall algebras and quantum symmetric pairs I: Foundations
From MaRDI portal
Publication:6134571
DOI10.1112/plms.12423arXiv1901.11446OpenAlexW4207004201MaRDI QIDQ6134571
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modulation and natural valued quiver of an algebra.
- Quantum symmetric Kac-Moody pairs
- Representations of quivers over the algebra of dual numbers
- Geometric Schur duality of classical type
- Derived Hall algebras
- Hall algebras associated to triangulated categories
- Covering spaces in representation-theory
- Hall algebras and quantum groups
- Grothendieck groups of subcategories
- Heisenberg doubles and derived categories
- Quantum symmetric pairs and their zonal spherical functions.
- Triangulated categories and Kac-Moody algebras
- Categorification of quantum symmetric pairs. I
- Canonical bases arising from quantum symmetric pairs
- Universal K-matrix for quantum symmetric pairs
- Symmetric pairs for quantized enveloping algebras
- Hall algebras, hereditary algebras and quantum groups
- On degenerations and extensions of finite dimensional modules
- Quantum groups via Hall algebras of complexes.
- Relative homological algebra
- Semi-derived Ringel-Hall algebras and Drinfeld double
- Singularity categories of Gorenstein monomial algebras
- Lie algebras arising from 1-cyclic perfect complexes
- Hall algebras and quantum symmetric pairs. III: Quiver varieties
- Quivers with relations for symmetrizable Cartan matrices. I: Foundations
- Realizing stable categories as derived categories
- Cyclic complexes, Hall polynomials and simple Lie algebras.
- On triangulated orbit categories
- Hall algebras and quantum symmetric pairs. II: Reflection functors
- Generic extensions and multiplicative bases of quantum groups at 𝐪=0
- Quantum groups via cyclic quiver varieties I
- ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
- Quiver varieties and Hall algebras
- Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
- The homological theory of maximal Cohen-Macaulay approximations
- Canonical Bases Arising from Quantized Enveloping Algebras
- Degenerations for representations of quivers with relations
- Quiver varieties and symmetric pairs
- Semi-Derived and Derived Hall Algebras for Stable Categories
- PBW-bases of quantum groups.
- A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
- Minimal Generators of Hall Algebras of 1-cyclic Perfect Complexes
- Singularity categories of representations of algebras over local rings
- GORENSTEIN HOMOLOGICAL PROPERTIES OF TENSOR RINGS
- Introduction to quantum groups
- Hall algebras and quantum symmetric pairs of Kac-Moody type
This page was built for publication: Hall algebras and quantum symmetric pairs I: Foundations
