On vector spaces with distinguished subspaces and redundant base

✍ Scribed by Francesco Barioli; Clorinda De Vivo; Claudia Metelli

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 272 KB
• Volume: 374
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(03)00556-1

✦ Synopsis

Let V , W be finite dimensional vector spaces over a field K, each with n distinguished subspaces, with a dimension-preserving correspondence between intersections. When does this guarantee the existence of an isomorphism between V and W matching corresponding subspaces? The setting where it happens requires that the distinguished subspaces be generated by subsets of a given redundant base of the space; this gives rise to a (0,1)-incidence table called tent, an object which occurs in the study of Butler B(1)-groups.