Differential operator realization of braid group action on ıquantum groups

DOI10.1063/5.0166060arXiv2307.03501MaRDI QIDQ6066077

Unnamed Author, Zhaobing Fan, Unnamed Author

Publication date: 12 December 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2307.03501

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Braid groups; Artin groups (20F36)

Cites Work

• Unnamed Item
• Quantum symmetric Kac-Moody pairs
• Braid group actions on coideal subalgebras of quantized enveloping algebras
• Quantum groups at roots of 1
• Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\)
• On the defining relations of quantum superalgebras
• Braid group action on the \(q\)-Weyl algebra
• A basis of type Poincaré-Birkhoff-Witt for the quantum algebra of \(\widehat{sl}(2)\)
• Braid group action and quantum affine algebras
• Symmetric pairs for quantized enveloping algebras
• A Drinfeld type presentation of affine \(\imath\) quantum groups. I: Split ADE type
• A Drinfeld-type presentation of affine \(\imath\) quantum groups. II: Split BCFG type
• Braid group symmetries on quasi-split \(\imath\)quantum groups via \(\imath\)Hall algebras
• Braid group actions for quantum symmetric pairs of type AIII/AIV
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• q-oscillator realizations of the metaplectic representation of quantum osp(3,2)
• A new approach to Kazhdan-Lusztig theory of type B via quantum symmetric pairs
• Introduction to quantum groups
• Quantum groups
• Relative braid group symmetries on \(\imath\)quantum groups of Kac-Moody type

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