Twisted deformations vs. cocycle deformations for quantum groups

DOI10.1142/S0219199720500844zbMath1490.17021arXiv1807.01149MaRDI QIDQ5016196

Fabio Gavarini, Gastón Andrés García

Publication date: 13 December 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.01149

zbMATH Keywords

Hopf algebrasquantum groupsquantum enveloping algebrascomultiplication twistingdeformation by twistsmultiplication twisting

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20)

Related Items (2)

Algebras of non-local screenings and diagonal Nichols algebras ⋮ Multiparameter quantum groups at roots of unity

Cites Work

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• Distinguished pre-Nichols algebras
• Complete reducibility theorems for modules over pointed Hopf algebras.
• Quantum groups at roots of 1
• A two-parameter quantization of GL(n)
• Lusztig isomorphisms for Drinfel'd doubles of bosonizations of Nichols algebras of diagonal type
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Algebraic structure of multiparameter quantum groups
• Quantization of Poisson groups
• Two-parameter quantum groups and Drinfel'd doubles.
• Multiparameter quantum enveloping algebras
• Drinfel'd doubles and Lusztig's symmetries of two-parameter quantum groups
• Multiparameter quantum function algebra at roots of 1
• Multiparameter quantum groups and twisted quasitriangular Hopf algebras
• A Frobenius homomorphism for Lusztig’s quantum groups for arbitrary roots of unity
• Multi-parameter Quantum Groups and Quantum Shuffles, (I)
• Hopf Algebras
• Multiparameter quantum groups, bosonizations and cocycle deformations
• Quantum deformations of GL_n
• Multiplication alteration by two-cocycles - the quantum version
• Quantum double and multiparameter quantum groups
• The R-matrix of quantum doubles of Nichols algebras of diagonal type

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