Hall algebras and quantum symmetric pairs of Kac-Moody type
From MaRDI portal
Publication:6135869
DOI10.1016/j.aim.2023.109215arXiv2006.06904MaRDI QIDQ6135869
Publication date: 28 August 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.06904
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Differential graded algebras and applications (associative algebraic aspects) (16E45) Derived categories, triangulated categories (18G80)
Related Items (6)
\(\imath\)Quantum groups of split type via derived Hall algebras ⋮ Quantum Borcherds–Bozec algebras via semi‐derived Ringel–Hall algebras II: Braid group actions ⋮ Hall algebras and quantum symmetric pairs I: Foundations ⋮ Finite Young wall model for representations of \(\imath\,\)quantum group \(\mathbf{U}^{\jmath}\) ⋮ 𝚤Hall algebras of weighted projective lines and quantum symmetric pairs ⋮ A Drinfeld type presentation of affine \(\imath\) quantum groups. I: Split ADE type
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Quantum symmetric Kac-Moody pairs
- Hall algebras and quantum groups
- Canonical bases arising from quantum symmetric pairs
- Formulae of \(\iota\)-divided powers in \(\mathbf{U}_q(\mathfrak{sl}_2)\)
- Chain complexes and stable categories
- Symmetric pairs for quantized enveloping algebras
- Hall algebras, hereditary algebras and quantum groups
- Quantum groups via Hall algebras of complexes.
- Relative homological algebra
- A Serre presentation for the \(\imath\)quantum groups
- Semi-derived Ringel-Hall algebras and Drinfeld double
- Singularity categories of Gorenstein monomial algebras
- Braid group symmetries on quasi-split \(\imath\)quantum groups via \(\imath\)Hall algebras
- The Happel functor and homologically well-graded Iwanaga-Gorenstein algebras
- On canonical bases for the Letzter algebra \(\mathbf{U}^\imath(\mathfrak{sl}_2)\)
- On triangulated orbit categories
- Hall algebras and quantum symmetric pairs. II: Reflection functors
- Serre-Lusztig relations for \(\imath\) quantum groups
- Quivers with loops and generalized crystals
- The bar involution for quantum symmetric pairs
- Canonical Bases Arising from Quantized Enveloping Algebras
- Deriving DG categories
- Semi-Derived and Derived Hall Algebras for Stable Categories
- A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
- Affine flag varieties and quantum symmetric pairs
- 𝚤Hall algebra of the projective line and 𝑞-Onsager algebra
- Introduction to quantum groups
- Hall algebras and quantum symmetric pairs I: Foundations
This page was built for publication: Hall algebras and quantum symmetric pairs of Kac-Moody type
