Artículos de revistas
On Nichols algebras of diagonal type
Fecha
2013-11Registro en:
Angiono, Iván Ezequiel; On Nichols algebras of diagonal type; de Gruyter; Journal Fur Die Reine Und Angewandte Mathematik; 683; 11-2013; 189-251
0075-4102
Autor
Angiono, Iván Ezequiel
Resumen
We give an explicit and essentially minimal list of defining relations of a Nichols algebra of diagonal type with finite root system. This list contains the well-known quantum Serre relations but also many new variations. A conjecture by Andruskiewitsch and Schneider states that any finite-dimensional pointed Hopf algebra over an algebraically closed field of characteristic zero is generated as an algebra by its group-like and skew-primitive elements. As an application of our main result, we prove the conjecture when the group of group-like elements is abelian.