Automorphisms of free braided associative algebras in two variables
Mutalip R. Naurazbekova A. Umirbaev U.
2022Taylor and Francis Ltd.
Communications in Algebra
2022#50Issue 2848 - 860 pp.
We describe the groups of automorphisms of two generated free braided associative algebras with involutive diagonal braidings over a field of characteristic (Formula presented.) Depending on the form of the diagonal involutive braiding, five different automorphism groups arise as automorphism groups of two generated free braided associative algebras. This list covers all three automorphism groups that arise in the case of quantum planes.
Automorphism , braiding , free associative algebra , Yang–Baxter equation
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L.N. Gumilyov Eurasian National University, Nur-Sultan, Kazakhstan
Wayne State University, Detroit, MI, United States
Institute of Mathematics and Modeling, Almaty, Kazakhstan
L.N. Gumilyov Eurasian National University
Wayne State University
Institute of Mathematics and Modeling
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