Partial abelianization of free product of algebras
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Publication:6330900
DOI10.1134/S1995080221100115arXiv1912.05256MaRDI QIDQ6330900
I. Yu. Zhdanovskii, A. S. Kocherova
Publication date: 11 December 2019
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.
Noncommutative algebraic geometry (14A22) Rational and birational maps (14E05) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70) Simple, semisimple, reductive (super)algebras (17B20) Automorphism groups of lattices (11H56) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
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