On finite GK-dimensional Nichols algebras of diagonal type

被引：11

作者：

Andruskiewitsch, Nicolas ^{[1
]}

Angiono, Ivan ^{[1
]}

Heckenberger, Istvan ^{[2
]}

机构：

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

[2] Philipps Univ Marburg, Fachbereich Math & Informat, Hans Meerwein Str, D-35032 Marburg, Germany

来源：

TENSOR CATEGORIES AND HOPF ALGEBRAS | 2019年 / 728卷

关键词：

D O I：

10.1090/conm/728/14653

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：1 / 23

页数：23

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