The quantum divided power algebra of a finite-dimensional Nichols algebra of diagonal type

被引：10

作者：

Andruskiewitsch, Nicolas ^{[1
]}

Angiono, Ivan ^{[1
]}

Rossi Bertone, Fiorela ^{[1
]}

机构：

[1] Univ Nacl Cordoba, CONICET, FaMAF CIEM, Medina Allende S-N,Ciudad Univ, RA-5000 Cordoba, Argentina

来源：

MATHEMATICAL RESEARCH LETTERS | 2017年 / 24卷 / 03期

关键词：

ROOT SYSTEMS;

D O I：

10.4310/MRL.2017.v24.n3.a2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let B-q be a finite-dimensional Nichols algebra of diagonal type corresponding to a matrix q. We consider the graded dual L-q of the distinguished pre-Nichols algebra (B) over tilde (q) from [A3] and the quantum divided power algebra U-q, a suitable Drinfeld double of L-q#kZ(theta). We provide basis and presentations by generators and relations of L-q and U-q, and prove that they are noetherian and have finite Gelfand-Kirillov dimension.

引用

页码：619 / 643

页数：25

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