The Euclidean Hopf algebra U q(e N) and its fundamental Hilbert-space representations

DOI10.1063/1.530898zbMath0883.17018arXivhep-th/9407195OpenAlexW2072586775MaRDI QIDQ4873285

Gaetano Fiore

Publication date: 5 March 1998

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

Full work available at URL: https://arxiv.org/abs/hep-th/9407195

zbMATH Keywords

Hilbert space representations\(q\)-differential operator realizationquantum Euclidean Hopf algebra

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) Abstract operator algebras on Hilbert spaces (47L30) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items

Realization of \(U_ q(so(N))\) within the differential algebra on \(\mathbb{R}_ q^ N\), On the deformability of Heisenberg algebras, Hilbert space representations of cross product algebras, ON THE HERMITICITY OF q-DIFFERENTIAL OPERATORS AND FORMS ON THE QUANTUM EUCLIDEAN SPACES $\mathbb{R}_q^N$, q -quaternions and q-deformed su(2) instantons

Cites Work

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• Quantum groups SO_q(N), Sp_q(n) have q-determinants, too