scientific article; zbMATH DE number 1460695
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Publication:4485777
zbMath0999.17023MaRDI QIDQ4485777
Publication date: 18 June 2000
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quantized enveloping algebrasemisimple Lie algebraquantum symmetric pairsHarish-Chandra modulesspherical modules
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Branching rules for finite-dimensional \(\mathcal {U}_{q}(\mathfrak {su}(3))\)-representations with respect to a right coideal subalgebra ⋮ Ribbon braided module categories, quantum symmetric pairs and Knizhnik-Zamolodchikov equations ⋮ Quantum symmetric pairs and representations of double affine Hecke algebras of type \(C^\vee C_n\). ⋮ Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik–Zamolodchikov equations and Letzter–Kolb coideals ⋮ Quiver varieties and symmetric pairs ⋮ Dirac operator and its cohomology for the quantum group Uq(𝖘𝖑𝟐) ⋮ Subfactors and applications. Abstracts from the workshop held October 27 -- November 2, 2019 ⋮ Quantum symmetric Kac-Moody pairs ⋮ Right coideal subalgebras in \(U_q(\mathfrak{sl}_{n+1})\) ⋮ The center of quantum symmetric pair coideal subalgebras ⋮ On representations of $U’_q\mathfrak {so}_n$ ⋮ Quantum flag manifolds, quantum symmetric spaces and their associated universal \(K\)-matrices ⋮ Cartan subalgebras for quantum symmetric pair coideals
Cites Work
- Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
- Local finiteness of the adjoint action for quantized enveloping algebras
- Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
- 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
- Separation of Variables for Quantized Enveloping Algebras
- On a Harish-Chandra homomorphism
- Subalgebras Which Appear in Quantum Iwasawa Decompositions
- Lie Group Representations on Polynomial Rings
- Lie groups beyond an introduction
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