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.

中文翻译：

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具有可分解编织的非阿贝尔群上的尖点 Hopf 代数，我

我们描述了所有有限维指向 Hopf 代数，其无穷小的编织是一个固定的 Yetter-Drinfeld 模块，分解为两个简单对象的总和：一个点和三个字母的对称群的转置之一。我们给出了相应的 Nichols 代数的生成器和关系的演示，并证明了 Andruskiewitsch-Schneider 猜想对于这种尖锐的 Hopf 代数是成立的。