On algebraic torsion forms and their spin holonomy algebras

被引：0

作者：

Bernhardt, Niels ^{[1
]}

Nagy, Paul-Andi ^{[1
]}

机构：

[1] Univ Auckland, Dept Math, Auckland, New Zealand

来源：

JOURNAL OF LIE THEORY | 2007年 / 17卷 / 02期

关键词：

spin connection; spin holonomy algebra;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study holonomy algebras generated by an algebraic element of the Clifford algebra, or equivalently, the holonomy algebras of certain spin connections in flat space. We provide series of examples in arbitrary dimensions and establish general properties of the holonomy algebras under some mild conditions on the generating element.

引用

页码：357 / 377

页数：21

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