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math.RT2020
Theory of homotopes in application to mutually unbiased bases, harmonic analysis on graphs and perverse sheaves
Alexey Bondal, Ilya Zhdanovskiy
The paper is the survey of the modern results and applications of the theory of homotopes. The notion of a well-tempered element in an associative algebra is introduced and it is p…
math.RT2019
Partial abelianization of free product of algebras
Anna Kocherova, Ilya Zhdanovskiy
In this article we consider partial abelianization of associative algebra with respect to a subalgebra. This notion is a generalization of usual abelianization of associative algeb…