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Partial Abelianization of Free Product of Algebras

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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 algebra and has an application… Click to show full abstract

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 algebra and has an application in Quantum Mechanics and Quantum Information Theory. Using combinatorial methods, representation theory and algebraic geometry we study partial abelianization of free product of algebras in our work.

Keywords: abelianization free; abelianization; free product; product algebras; partial abelianization

Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2021

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