The center of quantum symmetric pair coideal subalgebras

DOI10.1090/S1088-4165-08-00332-4zbMath1243.17008arXivmath/0602638MaRDI QIDQ3614515

Stefan Kolb, Gail Letzter

Publication date: 9 March 2009

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602638

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35)

Related Items (5)

Branching rules for finite-dimensional \(\mathcal {U}_{q}(\mathfrak {su}(3))\)-representations with respect to a right coideal subalgebra ⋮ Quantum symmetric Kac-Moody pairs ⋮ Quantum symmetric pairs and the reflection equation ⋮ Reflection equation algebras, coideal subalgebras, and their centres ⋮ Cartan subalgebras for quantum symmetric pair coideals

Cites Work

• Quantum symmetric pairs and the reflection equation
• On a parabolic algebra \(P\) of \(\check U_q(sl_{n+1})\) and its semi-invariants with respect to the adjoint action of \(P\)
• On the classification of quantum \({\mathcal O}\)-algebras
• Quantum symmetric pairs and their zonal spherical functions.
• Orthogonal polynomials associated with root systems
• Some remarks on the construction of quantum symmetric spaces
• Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
• Symmetric pairs for quantized enveloping algebras
• Quantum zonal spherical functions and Macdonald polynomials
• Some limit transitions between BC type orthogonal polynomials interpreted on quantum complex Grassmannians
• Classification theorem on irreducible representations of the \(q\)-deformed algebra \(U_q^{\prime}(\text{so}_n)\)
• A family of quantum projective spaces and related $q$-hypergeometric orthogonal polynomials
• Separation of Variables for Quantized Enveloping Algebras
• Invariant differential operators for quantum symmetric spaces
• vector valued spherical functions and macdonald–koornwinder polynomials
• Analogues de la forme de Killing et du théorème d'Harish-Chandra pour les groupes quantiques
• On the semi-invariants of a parabolic subalgebra of a quantized enveloping algebra
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