THE NICHOLS ALGEBRA OF SCREENINGS

DOI10.1142/S0219199712500290zbMath1264.81285arXiv1101.5810OpenAlexW2009892521MaRDI QIDQ2909792

I. Yu. Tipunin, A. M. Semikhatov

Publication date: 6 September 2012

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

Full work available at URL: https://arxiv.org/abs/1101.5810

zbMATH Keywords

braided Hopf algebrasNichols algebrasKazhdan-Lusztig dualityscreening operatorslogarithmic conformal field theory, Yetter-Drinfeld modulesvertex-operator algebras

Mathematics Subject Classification ID

Related Items (20)

The classification of Nichols algebras over groups with finite root system of rank two ⋮ Integrable perturbations of conformal field theories and Yetter-Drinfeld modules ⋮ BCJ, worldsheet quantum algebra and KZ equations ⋮ Logarithmic conformal field theories of type B n, ℓ = 4 and symplectic fermions ⋮ Fusion in the entwined category of Yetter-Drinfeld modules of a rank-1 Nichols algebra ⋮ Rank 4 finite-dimensional Nichols algebras of diagonal type in positive characteristic ⋮ A quasi-Hopf algebra for the triplet vertex operator algebra ⋮ Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms. ⋮ Bimodule structure of the mixed tensor product over \(\mathcal{U}_q s \ell(2 | 1)\) and quantum walled Brauer algebra ⋮ Braided racks, Hurwitz actions and Nichols algebras with many cubic relations. ⋮ Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models ⋮ Quantum groups and Nichols algebras acting on conformal field theories ⋮ Centralizing the centralizers ⋮ On Neeman’s gradient flows ⋮ Finite Cartan graphs attached to Nichols algebras of diagonal type ⋮ A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups ⋮ Rank three Nichols algebras of diagonal type over arbitrary fields ⋮ The R-matrix of quantum doubles of Nichols algebras of diagonal type ⋮ Representations of U¯qsℓ(2|1) at even roots of unity ⋮ Virasoro Central Charges for Nichols Algebras

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