On generalized Clifford algebra \(C_4^{(n)}\) and \(GL_q (2; \mathbb{C})\) quantum group

DOI10.1007/BF03042380zbMath0958.15024arXivmath/0403061MaRDI QIDQ1579071

N. Delaunay

Publication date: 18 April 2001

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403061

zbMATH Keywords

quantum groupLie algebras\(q\)-deformed finite quantum mechanicsquantization relationsquantum symplectic conditions

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry and quantization, symplectic methods (81S10) Clifford algebras, spinors (15A66)

Related Items (1)

On generalisation of lucas symmetric functions and tchebycheff polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• A class of totally geodesic foliations of Lie groups
• On quantum mechanics and generalized Clifford algebras
• Clifford algebras of polynomials, generalized Grassmann algebras and \(q\)-deformed Heisenberg algebras
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the polar decomposition of the quantum SU(2) algebra
• Clifford- and Grassmann-like algebras—Old and new

This page was built for publication: On generalized Clifford algebra \(C_4^{(n)}\) and \(GL_q (2; \mathbb{C})\) quantum group