Inhomogeneous quantum groups and their quantized universal enveloping algebras

DOI10.1007/BF00739579zbMath0779.17017MaRDI QIDQ2366256

Michael Schlieker, Wolfgang Weich, Ralf Weixler

Publication date: 29 June 1993

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

zbMATH Keywords

universal enveloping algebra\(R\)-matrixinhomogeneous quantum groupdual Hopf algebraquantum spacequantum universal enveloping algebraregular functionalscovariant partial derivative

Mathematics Subject Classification ID

Related Items (6)

Quasitriangularity and enveloping algebras for inhomogeneous quantum groups ⋮ A simple method for constructing the inhomogeneous quantum group IGLq(n) and its universal enveloping algebra Uq (igl(n)) ⋮ The quantized universal enveloping algebras Uq(iso(N)), Uq(e(3,1)) and Uq(e(N)) and the representation theory of Uq(e(3)) ⋮ Lie-algebraic structure from inhomogeneous Hopf algebras ⋮ Universal enveloping algebra and differential calculi on inhomogeneous orthogonal \(q\)-groups ⋮ The inhomogeneous quantum groups from differential calculi with classical dimension

Cites Work

• Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
• Quantum \(E(2)\) group and its Pontryagin dual
• The two-dimensional quantum Euclidean algebra
• Inhomogeneous quantum groups
• The three-dimensional Euclidean quantum group E(3)q and its R-matrix
• Inhomogeneous quantum groups

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