Noncommutative phase and unitarization of GLp,q(2)

DOI10.1063/1.1556552zbMath1062.81092arXivhep-th/0208089OpenAlexW1819610837MaRDI QIDQ4832974

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Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/hep-th/0208089

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) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (2)

Quantum groups \(GL_{p,q}(2)\)- and \(SU_{q_{1}/q_{2}}(2)\)-invariant bosonic gases: A Comparative study ⋮ ON UNITARY TRANSFORMATIONS OF ORTHOFERMION ALGEBRA THAT FORM A QUANTUM GROUP

Cites Work

• A \(q\)-analogue of \(U(\mathfrak{gl}(N+1))\), Hecke algebra, and the Yang-Baxter equation
• Compact matrix pseudogroups
• Extension of theq-deformed oscillator and two-parameter coherent states
• Duality for the matrix quantum group GLp,q(2,C)
• Finite-dimensional representations of the quantum group GL_p,q(2) using the exponential map from U_p,q(gl(2))

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