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- W4313305449 abstract "We introduce a notion of ternary $F$-manifold algebras which is a generalization of $F$-manifold algebras. We study representation theory of ternary $F$-manifold algebras. In particular, we introduce a notion of dual representation which requires additional conditions similar to the binary case. We then establish a notion of a coherence ternary $F$-manifold algebra. Moreover, we investigate the construction of ternary $F$-manifold algebras using $F$-manifold algebras. Furthermore, we introduce and investigate a notion of a relative Rota-Baxter operator with respect to a representation and use it to construct ternary pre-$F$-manifold algebras." @default.
- W4313305449 created "2023-01-06" @default.
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- W4313305449 date "2022-12-27" @default.
- W4313305449 modified "2023-09-23" @default.
- W4313305449 title "On Ternary $F$-manifold Algebras and their Representations" @default.
- W4313305449 doi "https://doi.org/10.48550/arxiv.2212.13600" @default.
- W4313305449 hasPublicationYear "2022" @default.
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