A Note on Generic Clifford Algebras of Binary Cubic Forms

被引：0

作者：

Wang, Linhong ^{[1
]}

Wang, Xingting ^{[2
]}

机构：

[1] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA

[2] Howard Univ, Dept Math, Washington, DC 20059 USA

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2020年 / 23卷 / 04期

关键词：

Clifford algebra; Point variety; Discriminant ideals; REGULAR ALGEBRAS;

D O I：

10.1007/s10468-019-09917-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the representation theoretic results of the binary cubic generic Clifford algebra C, which is an Artin-Schelter regular algebra of global dimension five. In particular, we show that C is a PI algebra of PI degree three and compute its point variety and discriminant ideals. As a consequence, we give a necessary and sufficient condition on a binary cubic form f for the associated Clifford algebra C-f to be an Azumaya algebra.

引用

页码：1797 / 1806

页数：10

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