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

Iván Angiono; Hiroyuki Yamane

doi:10.1063/1.4907379

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

Iván Angiono, Hiroyuki Yamane

数学科

研究成果: ジャーナルへの寄稿 › 学術論文 › 査読

17 被引用数 (Scopus)

抄録

Let H be the quantum double of a Nichols algebra of diagonal type. We compute the R-matrix of 3-tuples of modules for general finite-dimensional highest weight modules over H. We also calculate a multiplicative formula for the universal R-matrix when H is finite dimensional. We show the unicity of a PBW basis (or a Lusztig-type Poincaré-Birkhoff-Witt basis) with a given convex order.

本文言語	英語
論文番号	021702
ジャーナル	Journal of Mathematical Physics
巻	56
号	2
DOI	https://doi.org/10.1063/1.4907379
出版ステータス	出版済み - 2015/02/05

ASJC Scopus 主題領域

統計物理学および非線形物理学
数理物理学

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10.1063/1.4907379

引用スタイル

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

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