Quasi-associativity and flatness criteria for quadratic algebra deformations

DOI10.1007/BF02774031zbMath0886.17014OpenAlexW2078593858MaRDI QIDQ1355255

Steven Shnider, Joseph Donin

Publication date: 12 May 1998

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02774031

zbMATH Keywords

representationsquadratic algebrasYang-Baxter operatorDrinfeld-Jimbo quantum groupquantum enveloping algebraflat deformationsquantum semigroupquantum \(R\)-matrix

Mathematics Subject Classification ID

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

Related Items

Quantum orbits of the \(R\)-matrix type ⋮ Quantization of Poisson pencils and generalized Lie algebras ⋮ Deformation of certain quadratic algebras and the corresponding quantum semigroups

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Representation-functors and flag-algebras for the classical groups. I
• On Poisson pairs associated to modified \(R\)-matrices
• Deformation theory via deviations
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