SO(5)q and contraction: Chevalley basis representations for q-generic and root of unity

DOI10.1063/1.530851zbMath0809.17011OpenAlexW2081814610MaRDI QIDQ4318026

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Publication date: 25 January 1995

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

Full work available at URL: https://doi.org/10.1063/1.530851

zbMATH Keywords

contractionirreducible representationsChevalley basisquantum orthogonal group

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 (2)

The isospectral Dirac operator on the 4-dimensional orthogonal quantum sphere ⋮ Dirac operator on the quantum fuzzy four-sphere SqF4

Cites Work

• Irreducible representations of the quantum analogue of SU(2)
• Periodic and partially periodic representations of \(\text{SU}(N)_ q\)
• New quantum Poincaré algebra and \(\kappa\)-deformed field theory
• Periodic and flat irreducible representations of \(SU(3)_ q\)
• The three-dimensional Euclidean quantum group E(3)q and its R-matrix
• q-analogs of IU(n) and U(n,1)
• The Gel’fand–Tsetlin representations of the orthogonal Cayley–Klein algebras
• Contractions of the irreducible representations of the quantum algebras suq(2) and soq(3)
• Canonical structure in SO(4)q and relations to E(3)q and SO(3,1)q
• Class of Representations of the IU(n) and IO(n) Algebras and Respective Deformations to U(n, 1), O(n, 1)

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