INVESTIGADORES
ANGIONO Ivan Ezequiel
artículos
Título:
The quantum divided power algebra of a finite-dimensional Nichols algebra of diagonal type
Autor/es:
ANDRUSKIEWITSCH, NICOLÁS; ANGIONO, IVÁN; BERTONE, FIORELA ROSSI
Revista:
MATHEMATICAL RESEARCH LETTERS
Editorial:
INT PRESS BOSTON, INC
Referencias:
Año: 2017 vol. 24 p. 619 - 643
ISSN:
1073-2780
Resumen:
Let Bq be a finite-dimensional Nichols algebra of diagonal type corresponding to a matrix q. We consider the graded dual Lq of the distinguished pre-Nichols algebra Bq from [A3] and the quantum divided power algebra Uq, a suitable Drinfeld double of Lq#kZθ. We provide basis and presentations by generators and relations of Lq and Uq, and prove that they are noetherian and have finite Gelfand-Kirillov dimension.