Pointed Hopf algebras over non abelian groups with decomposable braidings, I

被引：1

作者：

Angiono, Ivan ^{[1
]}

Sanmarco, Guillermo ^{[1
]}

机构：

[1] Univ Nacl Cordoba, CONICET, Fac Matemat Astron & Fis, CIEM, Medina Allende S-N,Ciudad Univ, RA-5000 Cordoba, Argentina

来源：

JOURNAL OF ALGEBRA | 2020年 / 549卷

关键词：

Hopf algebras; Nichols algebras; Cocycle deformations; YETTER-DRINFELD MODULES; NICHOLS ALGEBRAS; CLASSIFICATION;

D O I：

10.1016/j.jalgebra.2019.11.040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe all finite-dimensional pointed Hopf algebras whose infinitesimal braiding is a fixed Yetter-Drinfeld module decomposed as the sum of two simple objects: a point and the one of transpositions of the symmetric group in three letters. We give a presentation by generators and relations of the corresponding Nichols algebra and show that Andruskiewitsch-Schneider Conjecture holds for this kind of pointed Hopf algebras. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：78 / 111

页数：34

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