INVESTIGADORES
ANGIONO Ivan Ezequiel
artículos
Título:
On Nichols algebras of diagonal type
Autor/es:
IVÁN ANGIONO
Revista:
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
Editorial:
WALTER DE GRUYTER & CO
Referencias:
Lugar: Berlín; Año: 2013 vol. 683 p. 189 - 251
ISSN:
0075-4102
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.
