info:eu-repo/semantics/article
Pointed Hopf algebras over non abelian groups with decomposable braidings, I
Fecha
2020-05Registro en:
Angiono, Iván Ezequiel; Sanmarco, Guillermo Luis; Pointed Hopf algebras over non abelian groups with decomposable braidings, I; Academic Press Inc Elsevier Science; Journal of Algebra; 549; 5-2020; 78-111
0021-8693
CONICET Digital
CONICET
Autor
Angiono, Iván Ezequiel
Sanmarco, Guillermo Luis
Resumen
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.