Topological classification of systems of bilinear and sesquilinear forms

Author(s)

da Fonseca, Carlos M. ; Futorny, Vyacheslav ; Rybalkina, Tetiana ; Sergeichuk, Vladimir V.

• Document type: Journal article
• Source: Linear Algebra and its Applications; v. 515, p. 1-5, FEB 15 2017.
• Web of Science Citations: 0

Abstract

Let A and B be two systems consisting of the same vector spaces C-n1, . . . , C-ni, and bilinear or sesquilinear forms A(i), B-z C-nk(i) x C-ni(i) -> C, for i = 1, . . . , s. We prove that A is transformed to B by homeomorphisms within C-n1, . . . , C-ni if and only if A is transformed to B by linear bijections within c(n1), . . . , C-nt. (C) 2016 Elsevier Inc. All rights reserved. (AU)

• FAPESP's process: 14/09310-5 - Algebraic structures and their representations
• Grantee: Vyacheslav Futorny
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 15/05864-9 - Classification problems in linear algebra and system theory
• Grantee: Vyacheslav Futorny
• Support Opportunities: Research Grants - Visiting Researcher Grant - International