A new realisation of the \(\imath\)-quantum group \(\mathbf{U}^{\jmath}(N)\)

DOI10.1016/J.JPAA.2021.106793zbMath1495.17019OpenAlexW3174886191MaRDI QIDQ1979321

Yadi Wu, Jie Du

Publication date: 2 September 2021

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2021.106793

zbMATH Keywords

quantum groupSchur-Weyl dualityHecke algebrafinite orthogonal groupquantum hyperalgebra\(q\)-Schur algebra

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)

Related Items (1)

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

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 \(\mathrm{GL}_n\)
• Stratifying endomorphism algebras associated to Hecke algebras
• Hyperoctahedral Schur algebras
• Quantum symmetric pairs and their zonal spherical functions.
• Ariki-Koike algebras with semisimple bottoms
• The q ‐Schur Algebra
• A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs

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