Differential geometry of systems of projections in Banach algebras.
Differential geometry of systems of projections in Banach algebras.
复制标题
DOI：
10.2140/pjm.1990.143.209
复制
发表时间：
1990-06
影响因子：
0.6
通讯作者：
G. Corach;H. Porta;L. Recht
中科院分区：
文献类型：
--
作者：
G. Corach;H. Porta;L. Recht
设A是Banach代数，n是正整数，Qn = {{q\，.，Qn）e ~ n：qiq k = δ ik qi，q { + + q n = 1}。研究了A的单位群G的齐性空间的离散并Qn的微分几何，定义了主丛G -·Qn上的联络，确定了切丛TQn上的伴随联络的不变量.
Let A be a Banach algebra, n a positive integer and Q n = {{q\ , . , Qn) e Λ n : qιq k = δ ιk qi , q { + + q n = 1} . The differential geometry of Q n , as a discrete union of homogeneous spaces of the group G of units of A is studied, a connection on the principal bundle G —• Q n is defined and invariants of the associated connection on the tangent bundle TQ n are determined.