DRINFEL'D TWIST AND q-DEFORMING MAPS FOR LIE GROUP COVARIANT HEISENBERG ALGEBRAE

DOI10.1142/S0129055X00000125zbMath0961.81033arXivq-alg/9708017WikidataQ115246566 ScholiaQ115246566MaRDI QIDQ4519843

Gaetano Fiore

Publication date: 4 December 2000

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

Full work available at URL: https://arxiv.org/abs/q-alg/9708017

zbMATH Keywords

quantum groupWeyl algebra\(q\)-deformationsClifford algebraschanges of generators

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)

Related Items (8)

Unbraiding the braided tensor product ⋮ Braided Cartan calculi and submanifold algebras ⋮ Twisted quadrics and algebraic submanifolds in \(\mathbb{R}^n\) ⋮ The Dirac operator on compact quantum groups ⋮ Field theory on the \(q\)-deformed fuzzy sphere. II: Quantization ⋮ Twisted submanifolds of \(\mathbb{R}^n\) ⋮ Embedding \(q\)-deformed Heisenberg algebras into undeformed ones ⋮ Reconstruction of universal Drinfeld twists from representations

Cites Work

• Twisted second quantization
• Current algebras and Wess-Zumino model in two dimensions
• Twisted canonical anticommutation relations
• Reality in the differential calculus on \(q\)-Euclidean spaces
• Differential operators on quantum spaces for \(GL_ q(n)\) and \(SO_ q(n)\)
• Deformation theory and quantization. II: Physical applications
• Braided groups of Hopf algebras obtained by twisting
• More on quantum groups from the quantization point of view
• On the deformability of Heisenberg algebras
• On the deformation of rings and algebras
• Bialgebra cohomology, deformations, and quantum groups.
• Deforming maps for Lie group covariant creation and annihilation operators

This page was built for publication: DRINFEL'D TWIST AND q-DEFORMING MAPS FOR LIE GROUP COVARIANT HEISENBERG ALGEBRAE