The quantized universal enveloping algebras Uq(iso(N)), Uq(e(3,1)) and Uq(e(N)) and the representation theory of Uq(e(3))
DOI10.1063/1.532231zbMath0897.17019OpenAlexW149276542MaRDI QIDQ4384801
Ralf Weixler, Sebastian Sachse
Publication date: 12 October 1998
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.532231
Hopf algebrasirreducible representationsquantized universal enveloping algebrasfunction algebras*-involutionsquantized Euclidean algebras
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)
Cites Work
- Compact matrix pseudogroups
- Bicovariant differential calculus on quantum groups \(SU_ q(N)\) and \(SO_ q(N)\)
- Quantum \(E(2)\) group and its Pontryagin dual
- \(q\)-deformed Poincaré algebra
- Cross products by braided groups and bosonization
- Integrable operator representations of \(\mathbb{R}_ q^ 2\), \(X_{q,\gamma}\) and \(SL_ q(2,\mathbb{R})\)
- Irreducible unitary representations of quantum Lorentz group
- Braided bosonization and inhomogeneous quantum groups
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- THE q-EUCLIDEAN ALGEBRA Uq(eN) AND THE CORRESPONDING q-EUCLIDEAN LATTICE
- A QUANTUM LORENTZ GROUP
- Wigner-Eckart theorem for the quantum group Uq(n)
- Inhomogeneous quantum groups
- ISO q (3) and ISO q(2,1)
- Irreducible tensor operators in the regular coaction formalisms of compact quantum group algebras
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