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Extending structures for left-symmetric bialgebras

Published 30 Oct 2022 in math.RA | (2211.05202v2)

Abstract: We introduce the concept of braided left-symmetric bialgebras and construct cocycle bicrossproduct left-symmetric bialgebras. As an application, we solve the extending problem for left-symmetric bialgebras by using some non-abelian cohomology theory.

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