CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
A presentation by generators and relations of Nichols algebras of diagonal type and convex orders on root systems
Autor/es:
IVÁN ANGIONO
Revista:
JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY
Editorial:
EUROPEAN MATHEMATICAL SOC
Referencias:
Lugar: Zürich; Año: 2015 vol. 17 p. 2643 - 2671
ISSN:
1435-9855
Resumen:
We obtain a presentation by generators and relations of any Nichols algebra of diagonal type with finite root system. We prove that the defining ideal is finitely generated. The proof is based in Kharchenko´s theory of PBW basis of Lyndon words. We prove that the lexicographic order on Lyndon words is convex for such PBW generators and so the PBW basis is orthogonal with respect to the canonical non-degenerate form associated to the Nichols algebra.
