Abstract
In this paper, we present our recent results on the so-called complex structures in algebras in the context relevant to the following four problems which, at first glance, have nothing in common: (i) solubility of polynomial equations in non-associative algebras, (ii) topological/geometric properties of quadratic maps, (iii) existence of bounded solutions to quadratic differential systems, and (iv) ellipticity of the Dirac equation. The unsolved problems related to (i)-(iv) are formulated as well.
| Original language | English |
|---|---|
| Pages (from-to) | 249-260 |
| Number of pages | 12 |
| Journal | Georgian Mathematical Journal |
| Volume | 21 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1 Sep 2014 |
Bibliographical note
Publisher Copyright:© 2014 by De Gruyter 2014.
Keywords
- Real quadratic polynomial map
- complex structures
- isotopy
- non-associative algebras