info:eu-repo/semantics/article
On finite GK-dimensional Nichols algebras of diagonal type
Fecha
2019-08Registro en:
Andruskiewitsch, Nicolas; Angiono, Iván Ezequiel; Heckenberger, István; On finite GK-dimensional Nichols algebras of diagonal type; American Mathematical Society; Contemporary Mathematics; 728; 8-2019; 1-23
0271-4132
CONICET Digital
CONICET
Autor
Andruskiewitsch, Nicolas
Angiono, Iván Ezequiel
Heckenberger, István
Resumen
We conjectured in a previous paper that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has finite (generalized) root system. We prove the conjecture assuming that the rank is 2. We also show that a Nichols algebra of affine Cartan type has infinite Gelfand-Kirillov dimension.