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- W4253485304 abstract "The notion of octo-algebra was introduced by Leroux as a Loday algebra with 8 operations. In this paper, we introduce a notion of octo-bialgebra as a bialgebra theory of octo-algebras, which is equivalent to a double construction of a quadri-algebra with a nondegenerate 2-cocycle or a double construction of an octo-algebra with a nondegenerate invariant bilinear form. Some properties of octo-bialgebras are given, including the study of the coboundary cases which leads to a construction from an analogue of the classical Yang-Baxter equation in an octo-algebra." @default.
- W4253485304 created "2022-05-12" @default.
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- W4253485304 date "2012-05-03" @default.
- W4253485304 modified "2023-09-27" @default.
- W4253485304 title "Octo-bialgebras" @default.
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- W4253485304 doi "https://doi.org/10.1142/s100538671200020x" @default.
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