Quantum Clifford algebras from spinor representations

DOI10.1063/1.531744zbMath0861.15029OpenAlexW2028626196MaRDI QIDQ4716487

José David Vergara, Mićo Đurđević, Marcos Rosenbaum, A. Criscuolo, Raymundo Bautista

Publication date: 22 April 1997

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

Full work available at URL: https://doi.org/10.1063/1.531744

zbMATH Keywords

Hecke algebrasquantum groupsspinor representations\(q\)-calculusbraided monoidal category\(q\)-spacequantum Clifford algebras\(q\)-Dirac operators\(*\)-structuresquantum spin groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Spinor and twistor methods applied to problems in quantum theory (81R25) Clifford algebras, spinors (15A66)

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Cites Work

• Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
• Quantum deformation of Lorentz group
• Twisted second quantization
• Compact matrix pseudogroups
• Tannaka-Krein duality for compact matrix pseudogroups. Twisted SU(N) groups
• Reality in the differential calculus on \(q\)-Euclidean spaces
• Differential calculus on compact matrix pseudogroups (quantum groups)
• DEFORMATION OF THE QUANTUM MECHANICAL PHASE SPACE WITH BOSONIC OR FERMIONIC COORDINATES
• q-Euclidean space and quantum Wick rotation by twisting
• SO_q(N, R)-SYMMETRIC HARMONIC OSCILLATOR ON THE N-DIM REAL QUANTUM EUCLIDEAN SPACE