THE ROTATIONAL FLOW OF TWO-DIMENSIONAL ALGEBRAS AND ITS APPLICATIONS
Keywords:
Finite-dimensional algebra, matrix, time-dependent function, cubic matrix, isomorphism of algebras, flow of algebrasAbstract
In this thesis, we examine a time-dependent family of two-dimensional algebras, referred to as the circular flow of algebras, and provide information regarding some of its applications. We investigate the cases of two algebras belonging to this family formed at different points in time. Our findings reveal that this flow consists of uncountably many pairwise non-isomorphic algebras, including one commutative algebra.
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