A Frobenius homomorphism for Lusztig’s quantum groups for arbitrary roots of unity
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Publication:2800062
DOI10.1142/S0219199715500406zbMath1394.17038arXiv1406.0865OpenAlexW2963520214MaRDI QIDQ2800062
Publication date: 14 April 2016
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1406.0865
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hopf algebras and their applications (16T05)
Related Items (10)
The symplectic fermion ribbon quasi-Hopf algebra and the \(S L(2, \mathbb{Z})\)-action on its centre ⋮ Co-double bosonisation and dual bases of \(c_q[SL_2\) and \(c_q[SL_3]\)] ⋮ On the Hopf algebra structure of the Lusztig quantum divided power algebras ⋮ Logarithmic conformal field theories of type B n, ℓ = 4 and symplectic fermions ⋮ Factorizable \(R\)-matrices for small quantum groups ⋮ Symplectic fermions and a quasi-Hopf algebra structure on \(\overline{U}_{\operatorname{i}}s\ell(2)\) ⋮ The unrolled quantum group inside Lusztig's quantum group of divided powers ⋮ New \(R\)-matrices for small quantum groups ⋮ Twisted deformations vs. cocycle deformations for quantum groups ⋮ Multiparameter quantum groups at roots of unity
Cites Work
- Distinguished pre-Nichols algebras
- Symplectic fermions and a quasi-Hopf algebra structure on \(\overline{U}_{\operatorname{i}}s\ell(2)\)
- Kazhdan-Lusztig correspondence for the representation category of the triplet \(W\)-algebra in logarithmic CFT
- Pointed Hopf algebras with standard braiding are generated in degree one
- Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
- Introduction to Lie Algebras and Representation Theory
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