Artículos de revistas
The quantum divided power algebra of a finite-dimensional Nichols algebra of diagonal type
Fecha
2017-01Registro en:
Andruskiewitsch, Nicolas; Angiono, Iván Ezequiel; Rossi Bertone, Fiorela; The quantum divided power algebra of a finite-dimensional Nichols algebra of diagonal type; International Press Boston; Mathematical Research Letters; 24; 3; 1-2017; 619-643
1073-2780
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Autor
Andruskiewitsch, Nicolas
Angiono, Iván Ezequiel
Rossi Bertone, Fiorela
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.