Exponential mapping for non-semisimple quantum groups

DOI10.1088/0305-4470/27/4/023zbMath0806.17017arXivhep-th/9311114OpenAlexW3105158262MaRDI QIDQ4307122

Pereña, C. M., Riccardo Giachetti, Francesco Bonechi, Enrico Celeghini, Emanuele Sorace, Marco Tarlini

Publication date: 19 February 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9311114

zbMATH Keywords

exponential mappingantipodeexponential seriesinhomogeneous quantum groupsEuclidean quantum groupGalilei quantum groupuniversal \(T\) matrix

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

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Free \(q\)-Schrödinger equation from homogeneous spaces of the 2-dim Euclidean quantum group ⋮ On the Hopf structure of \(U_{p,q}(\text{gl}(1| 1))\) and the universal \(\mathcal{T}\)-matrix of \(\text{Fun}_{p,q}(\text{GL}(1| 1))\) ⋮ Quantum exponentials for the modular double and applications in gravity models ⋮ Generating \(q\)-commutator identities and the \(q\)-BCH formula ⋮ Colored quantum universal enveloping algebras ⋮ Dynamical actions and q-representation theory for double-scaled SYK ⋮ Duals of colored quantum universal enveloping algebras and colored universal 𝒯-matrices ⋮ The \(q\)-deformed Campbell-Baker-Hausdorff-Dynkin theorem

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