Braid group action on the \(q\)-Weyl algebra

DOI10.1007/BF00703729zbMath0736.17014MaRDI QIDQ1182302

Luc Vinet, Roberto Floreanini

Publication date: 28 June 1992

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

zbMATH Keywords

representationsbraid group action\(q\)-deformed Weyl algebra

Mathematics Subject Classification ID

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

Related Items (2)

Differential operator realization of braid group action on ıquantum groups ⋮ Hypergeometric systems of Gelfand-type equations and series in orthogonal polynomials

Cites Work

• Unnamed Item
• 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
• Quantum deformations of certain simple modules over enveloping algebras
• \(q\)-oscillator realizations of the quantum superalgebras \(sl_ q(m,n)\) and \(osp_ q(m,2n)\)
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• The quantum group SU_q(2) and a q-analogue of the boson operators

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