The R-matrix of quantum doubles of Nichols algebras of diagonal type

DOI10.1063/1.4907379zbMath1394.17066arXiv1304.5752OpenAlexW2155458561MaRDI QIDQ5178209

Hiroyuki Yamane, Iván Ezequiel Angiono

Publication date: 13 March 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5752

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)

Related Items (15)

Bruhat order and nil-Hecke algebras for Weyl groupoids ⋮ Centers of generalized quantum groups ⋮ Poisson orders on large quantum groups ⋮ Factorizable \(R\)-matrices for small quantum groups ⋮ Natural elements of center of generalized quantum groups ⋮ Equitable presentations for multiparameter quantum groups ⋮ A simplicial complex of Nichols algebras ⋮ The unrolled quantum group inside Lusztig's quantum group of divided powers ⋮ Representations of U¯qsℓ(2|1) at even roots of unity ⋮ New \(R\)-matrices for small quantum groups ⋮ Symmetric pairs for Nichols algebras of diagonal type via star products ⋮ Kostant-Lusztig 𝔸-bases of multiparameter quantum groups ⋮ Typical irreducible characters of generalized quantum groups ⋮ Twisted deformations vs. cocycle deformations for quantum groups ⋮ Multiparameter quantum groups at roots of unity

Cites Work

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