arXiv
Open Access
2025
Twisted Rota-Baxter families on Lie-Yamaguti algebras and NS-Lie-Yamaguti family algebras
Wen Teng
Abstrak
In this paper, we first introduce twisted Rota-Baxter families on Lie-Yamaguti algebras indexed by a commutative semigroup $Ω$. Then, we study NS-Lie-Yamaguti family algebras as the underlying structures of twisted Rota-Baxter families. Finally, we investigate the cohomology of a twisted Rota-Baxter family. This cohomology can also be seen as the cohomology of a certain $Ω$-Lie-Yamaguti algebras with coefficients in an appropriate representation. As applications, we consider the deformations of twisted Rota-Baxter families from the cohomological points of view.
Topik & Kata Kunci
Penulis (1)
W
Wen Teng
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2025
- Bahasa
- en
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- arXiv
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- Open Access ✓