量子线性空间和Cartan型的有限gk维前nichols代数

Transactions of the American Mathematical Society, Series B Pub Date : 2020-02-25 DOI:10.1090/btran/66

N. Andruskiewitsch, Guillermo Sanmarco

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引用次数: 9

摘要

研究了具有有限gk维的量子线性空间和Cartan型的pre-Nichols代数。我们证明了除了少数只涉及2、3、4、6阶根的例外情况外，任何这样的pre-Nichols代数都是由Angiono推广De Concini-Kac-Procesi量子群所引入的杰出的pre-Nichols代数的商。这里有两个新的例子，其中一个可以被认为是g2g_2的三次方根。

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Finite GK-dimensional pre-Nichols algebras of quantum linear spaces and of Cartan type

We study pre-Nichols algebras of quantum linear spaces and of Cartan type with finite GK-dimension. We prove that except for a short list of exceptions involving only roots of order 2, 3, 4, 6, any such pre-Nichols algebra is a quotient of the distinguished pre-Nichols algebra introduced by Angiono generalizing the De Concini-Kac-Procesi quantum groups. There are two new examples, one of which can be thought of as G 2 G_2 at a third root of one.

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来源期刊

Transactions of the American Mathematical Society, Series B

CiteScore

1.70

自引率

0.00%

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