Complexification in \mathcal{A}-modules |
| |
| Authors: | Patrice P Ntumba |
| |
| Institution: | 1. Department of Mathematics and Applied Mathematics, University of Pretoria, Hatfield, 0002, Pretoria, South Africa
|
| |
| Abstract: | As for the classical complexification of real vector spaces, the sheaf-theoretic version shows that free \(\mathcal{A}\)-modules of finite rank, with \(\mathcal{A}\) an ordered nonzero-nilsquare free ?-algebra sheaf, admits a complex structure if and only if there exists on \(\mathcal{E}\) an \(\mathcal{A}\)-automorphism J such that J 2=?I. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
