| Autor: |
Abdullah Alazemi, Milica Anđelić, Carlos M. da Fonseca, Vyacheslav Futorny, Vladimir V. Sergeichuk |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
|
| Zdroj: |
Mathematics, Vol 9, Iss 5, p 455 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2227-7390 |
| DOI: |
10.3390/math9050455 |
| Popis: |
We consider systems of bilinear forms and linear maps as representations of a graph with undirected and directed edges. Its vertices represent vector spaces; its undirected and directed edges represent bilinear forms and linear maps, respectively. We prove that if the problem of classifying representations of a graph has not been solved, then it is equivalent to the problem of classifying representations of pairs of linear maps or pairs consisting of a bilinear form and a linear map. Thus, there are only two essentially different unsolved classification problems for systems of forms and linear maps. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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