Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik–Zamolodchikov equations and Letzter–Kolb coideals
DOI10.1017/fmp.2023.11arXiv2009.06018MaRDI QIDQ6103343
Kenny De Commer, Sergey V. Neshveyev, Makoto Yamashita, Lars Tuset
Publication date: 2 June 2023
Published in: Forum of Mathematics, Pi (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.06018
compact typeEnriquez-Etingof cyclotomic Knizhnik-Zamolodchikov (KZ) equationsLetzter-Kolb coidealsquantization of irreducible symmetric spacesquasi-coactions
Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Braided monoidal categories and ribbon categories (18M15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cyclotomic associators and finite type invariants for tangles in the solid torus
- A Kohno-Drinfeld theorem for the monodromy of cyclotomic KZ connections
- Notes on the Kazhdan-Lusztig theorem on equivalence of the Drinfeld category and the category of \(U_q{\mathfrak g}\)-modules
- Quantum symmetric Kac-Moody pairs
- Covariant and equivariant formality theorems
- Quantum symmetric pairs and the reflection equation
- Reflection equation algebras, coideal subalgebras, and their centres
- Factorizing particles on a half-line and root systems
- Quantum spheres
- Monodromy representations of braid groups and Yang-Baxter equations
- Poisson Lie groups, dressing transformations, and Bruhat decompositions
- Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
- On automorphisms of Kac-Moody algebras and groups
- Geometry and classification of solutions of the classical dynamical Yang-Baxter equation
- Some monodromy representations of generalized braid groups
- Module categories, weak Hopf algebras and modular invariants
- Reflection equation, twist, and equivariant quantization
- The quantum orbit method for generalized flag manifolds
- Characters of \({\mathcal U}_q(gl(n))\)-reflection equation algebra
- Universal K-matrix for quantum symmetric pairs
- A Poisson structure on compact symmetric spaces
- Quantization of classical dynamical \(r\)-matrices with nonabelian base
- Double quantization on some orbits in the coadjoint representations of simple Lie groups
- Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
- Symmetric pairs for quantized enveloping algebras
- Method of quantum characters in equivariant quantization
- Some Poisson structures associated to Drinfeld-Jimbo \(R\)-matrices and their quantization
- Discrete quantum groups
- On Poisson homogeneous spaces of Poisson-Lie groups
- Quantum flag manifolds, quantum symmetric spaces and their associated universal \(K\)-matrices
- Ribbon braided module categories, quantum symmetric pairs and Knizhnik-Zamolodchikov equations
- Quasi-reflection algebras and cyclotomic associators
- Quantization of formal classical dynamical \(r\)-matrices: the reductive case
- Sur les constantes de structure et le théorème d'existence des algèbres de Lie semi-simples
- Quantization of the Poisson SU(2) and its Poisson homogeneous space - the 2-sphere
- Tannaka-Krein duality for compact quantum homogeneous spaces. I. General theory
- Cohomological construction of quantized universal enveloping algebras
- Representations of Semisimple Lie Groups IV
- Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
- The bar involution for quantum symmetric pairs
- Duality theory for nonergodic actions
- A converse to the Second Whitehead Lemma
- Quantum groups and cylinder braiding
- A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
- Braided module categories via quantum symmetric pairs
- Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group
- Compactifications of Symmetric Spaces
- Algebraic Operads
- Algèbre
- Introduction to quantum groups
- Semisimple groups and Riemannian symmetric spaces
- Lie groups beyond an introduction
This page was built for publication: Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik–Zamolodchikov equations and Letzter–Kolb coideals
