The \(i\)-quantum group \(U^\imath(n)\)

DOI10.2140/PJM.2022.320.61OpenAlexW4306353700MaRDI QIDQ2090287

Yadi Wu, Jie Du

Publication date: 25 October 2022

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2022.320.61

zbMATH Keywords

quantum linear groupquantum Schur-Weyl dualityfinite symplectic group\(q\)-Schur algebra\(\imath\)-quantum group

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) Representations of finite groups of Lie type (20C33) Ring-theoretic aspects of quantum groups (16T20) Schur and (q)-Schur algebras (20G43)

Cites Work

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• A modified BLM approach to quantum affine \({\mathfrak{gl}_n}\)
• Geometric Schur duality of classical type
• A geometric setting for the quantum deformation of \(\mathrm{GL}_n\)
• Quantum symmetric pairs and their zonal spherical functions.
• Symmetric pairs for quantized enveloping algebras
• A new realisation of the \(\imath\)-quantum group \(\mathbf{U}^{\jmath}(N)\)
• \(Q\)-Schur algebras corresponding to Hecke algebras of type \textsf{B}
• The q ‐Schur Algebra
• A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
• Schur Algebras and Quantum Symmetric Pairs With Unequal Parameters
• THE -SCHUR ALGEBRAS AND -SCHUR DUALITIES OF FINITE TYPE
• The regular representation of 𝑈_{𝜐}(𝔤𝔩_{𝔪|𝔫})

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