Automorphisms of free braided associative algebras in two variables
Rings and Algebras
2021-03-12 v1 Quantum Algebra
Abstract
We describe the groups of automorphisms of two generated free braided associative algebras with involutive diagonal braidings over a field of characteristic . 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 \cite{AC}.
Cite
@article{arxiv.2103.06451,
title = {Automorphisms of free braided associative algebras in two variables},
author = {Riza Mutalip and Altyngul Naurazbekova and Ualbai Umirbaev},
journal= {arXiv preprint arXiv:2103.06451},
year = {2021}
}
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14 pages