Defining relations for quantum symmetric pair coideals of Kac-Moody type

DOI10.4171/JCA/57MaRDI QIDQ2078957

Hadewijch De Clercq

Publication date: 4 March 2022

Published in: Journal of Combinatorial Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.05368

zbMATH Keywords

Kac-Moody algebrasquantum groupscoideal subalgebras\(q\)-Onsager algebraquantum symmetric pairsDolan-Grady relationsSerre presentation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Universal enveloping algebras of Lie algebras (16S30)

Related Items (3)

The bar involution for quantum symmetric pairs – hidden in plain sight ⋮ Quantum symmetric pairs ⋮ Defining relations for quantum symmetric pair coideals of Kac-Moody type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The universal Askey-Wilson algebra
• Quantum symmetric Kac-Moody pairs
• Generalized \(q\)-Onsager algebras and boundary affine Toda field theories
• Deformed Dolan-Grady relations in quantum integrable models
• A new (in)finite-dimensional algebra for quantum integrable models
• The tetrahedron algebra, the Onsager algebra, and the \(\mathfrak{sl}_2\) loop algebra
• Factorizing particles on a half-line and root systems
• A classification of involutive automorphisms of an affine Kac-Moody Lie algebra
• ``Hidden symmetry of Askey-Wilson polynomials
• On automorphisms of Kac-Moody algebras and groups
• Quantum symmetric pairs and their zonal spherical functions.
• Nazarov-Wenzl algebras, coideal subalgebras and categorified skew Howe duality
• Universal K-matrix for quantum symmetric pairs
• Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
• Symmetric pairs for quantized enveloping algebras
• Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
• Quantum zonal spherical functions and Macdonald polynomials
• \(sl(N)\) Onsager's algebra and integrability
• Defining relations for quantum symmetric pair coideals of Kac-Moody type
• Little and big \(q\)-Jacobi polynomials and the Askey-Wilson algebra
• Quantum spin chains from Onsager algebras and reflection \(K\)-matrices
• Generalized Onsager algebras
• The higher rank \(q\)-deformed Bannai-Ito and Askey-Wilson algebra
• TWO RELATIONS THAT GENERALIZE THE Q-SERRE RELATIONS AND THE DOLAN-GRADY RELATIONS
• Generalizedq-Onsager algebras and dynamicalK-matrices
• The bar involution for quantum symmetric pairs
• THE AUGMENTED TRIDIAGONAL ALGEBRA
• Dolan–Grady relations and noncommutative quasi-exactly solvable systems
• Theq-Onsager algebra and multivariableq-special functions
• Boundary conditions for integrable quantum systems
• A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
• The q‐Bannai–Ito algebra and multivariate (−q)‐Racah and Bannai–Ito polynomials
• A Quantum Algebra Approach to Multivariate Askey–Wilson Polynomials
• Onsager's algebra and superintegrability
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition
• Introduction to quantum groups

This page was built for publication: Defining relations for quantum symmetric pair coideals of Kac-Moody type