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Complex structures in algebra, topology and differential equations.
- Source :
-
Georgian Mathematical Journal . Sep2014, Vol. 21 Issue 3, p249-260. 12p. - Publication Year :
- 2014
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1072947X
- Volume :
- 21
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Georgian Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 98563844
- Full Text :
- https://doi.org/10.1515/gmj-2014-0037