Classification in a rotational flow of two-dimensional algebras
Abstract
In this paper, we examine a time-dependent family of two-dimensional algebras. We investigate the conditions under which any two algebras from this family, formed at different times, are isomorphic. Our findings reveal that the flow comprises of uncountable pairwise non-isomorphic algebras, including one commutative algebra. Additionally, we compare our results with a previously established classification of two-dimensional real algebras.
Fields of Study & Subjects
Nonlinear Waves and Solitons
Algebraic and Geometric Analysis
Homotopy and Cohomology in Algebraic Topology
Publication details
- Journal / source
- Linear and Multilinear Algebra
- Publisher
- Informa UK Limited
- Volume
- 74
- Issue
- 1
- Pages
- 76–93
- Publication date
- 2 January 2026
- Language
- EN