p-deformation

DOI10.7153/dea-2022-14-26OpenAlexW4285251312WikidataQ115157871 ScholiaQ115157871MaRDI QIDQ5078863

Stefan Hilger

Publication date: 25 May 2022

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2022-14-26

zbMATH Keywords

quantum groupdeformation\(q\)-difference operatorsuniversal enveloping algebras of Lie (super)algebras

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) Universal enveloping (super)algebras (17B35) Quantum groups (quantized function algebras) and their representations (20G42) Difference equations, scaling ((q)-differences) (39A13) Universal enveloping algebras of Lie algebras (16S30)

Cites Work

• Algebra embedding of \(U_{q}(sl(2))\) into the tensor product of two \((q,h)\)-Weyl algebras.
• The category of ladders
• An embedding of the Bannai-Ito algebra in \(\mathcal U(\mathfrak{osp}(1,2))\) and \(-1\) polynomials
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