实谱三元组的乘积
数学物理
2012-03-20 v1 math.MP
摘要
我们构造了任意有限维(及任意宇称)实谱三元组的乘积,并考虑了以下事实:在偶数情况下有两种可能的实结构,在奇数情况下伽马矩阵(Clifford代数)有两种不等价的表示,而在偶-偶情况下,乘积三元组的Dirac算符有两个自然候选者。
引用
@article{arxiv.1011.4456,
title = {Product of real spectral triples},
author = {Ludwik Dabrowski and Giacomo Dossena},
journal= {arXiv preprint arXiv:1011.4456},
year = {2012}
}
备注
18 pages; based on the talk given at the conference "Noncommutative Geometry and Quantum Physics, Vietri sul Mare, Aug 31 - Sept 5, 2009"