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      Matched pairs of m-invertible Hopf quasigroups

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          Abstract

          The matched pair theory (of groups) is studied for a class of quasigroups; namely, the m-inverse property loops. The theory is upgraded to the Hopf level, and the "m-invertible Hopf quasigroups" are introduced.

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          Most cited references21

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          The structure of Hopf algebras with a projection

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            Poisson Lie groups, dressing transformations, and Bruhat decompositions

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              Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction

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                Author and article information

                Journal
                17 October 2019
                Article
                1910.07906
                2406f4fe-4bb4-4c6d-9af3-bea7f079f656

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Custom metadata
                20N05, 16T05, 57T05, 16S40
                math.RA

                Algebra
                Algebra

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