Realization of \(U_ q(so(N))\) within the differential algebra on \(\mathbb{R}_ q^ N\)

DOI10.1007/BF02099309zbMath0857.17010arXivhep-th/9403033MaRDI QIDQ1894869

Gaetano Fiore

Publication date: 22 August 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9403033

zbMATH Keywords

highest weight representationsquantum groupsHopf algebraquantum Euclidean spacealgebra of differential operatorsalgebra of functionsspace time symmetry

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Noncommutative topology (46L85) Noncommutative differential geometry (46L87)

Related Items

Unbraiding the braided tensor product ⋮ Realization of \(U_q({\mathfrak{sp}}_{2n})\) within the differential algebra on quantum symplectic space ⋮ Representations of 𝒰h (𝔰𝔲(N) ) derived from quantum flag manifolds ⋮ The Euclidean Hopf algebra U q(e N) and its fundamental Hilbert-space representations ⋮ ON THE HERMITICITY OF q-DIFFERENTIAL OPERATORS AND FORMS ON THE QUANTUM EUCLIDEAN SPACES $\mathbb{R}_q^N$ ⋮ \(q\)-deformed quantum Lie algebras

Cites Work

• Unnamed Item
• Reality in the differential calculus on \(q\)-Euclidean spaces
• Differential operators on quantum spaces for \(GL_ q(n)\) and \(SO_ q(n)\)
• \(q\)-deformed Poincaré algebra
• Free particle in \(q\)-deformed configuration space
• THE SO_q(N, R)-SYMMETRIC HARMONIC OSCILLATOR ON THE QUANTUM EUCLIDEAN SPACE ${\bf R}_q^N$ AND ITS HILBERT SPACE STRUCTURE
• Inhomogeneous quantum groups
• The Euclidean Hopf algebra U q(e N) and its fundamental Hilbert-space representations