Rota–Baxter cosystems and coquasitriangular mixed bialgebras
From MaRDI portal
Publication:4988256
DOI10.1142/S021949882150064XzbMath1476.16030OpenAlexW3001842335WikidataQ126293655 ScholiaQ126293655MaRDI QIDQ4988256
Abdenacer Makhlouf, Tianshui Ma, Sergei D. Silvestrov
Publication date: 12 May 2021
Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021949882150064x
Yang-Baxter equationcoassociative Yang-Baxter paircoquasitriangular infinitesimal bialgebracoquasitriangular mixed bialgebramixed bialgebraRota-Baxter bisystemRota-Baxter cosystem
Hopf algebras and their applications (16T05) Associative rings and algebras with additional structure (16W99)
Related Items
Rota-Baxter operators on Turaev's Hopf group (co)algebras. I: Basic definitions and related algebraic structures, Hom-Leibniz bialgebras and BiHom-Leibniz dendriform algebras, Double constructions of biHom-Frobenius algebras, On \((\lambda,\mu,\gamma)\)-derivations of BiHom-Lie algebras, Nijenhuis operators and associative D-bialgebras, Kupershmidt operators on Hom-Malcev algebras and their deformation, Nearly associative and nearly Hom-associative algebras and bialgebras, Hom-left-symmetric color dialgebras, Hom-tridendriform color algebras and Yau's twisting generalizations, Generalized derivations and Rota-Baxter operators of \(n\)-ary Hom-Nambu superalgebras, Coquasitriangular infinitesimal BiHom-bialgebras and related structures, Matching Rota-Baxter BiHom-algebras and related algebraic structures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Rota-Baxter systems, dendriform algebras and covariant bialgebras
- Polylogarithms and multiple zeta values from free Rota-Baxter algebras
- Frobenius and separable functors for generalized module categories and nonlinear equations
- An analytic problem whose solution follows from a simple algebraic identity
- Bidendriform bialgebras, trees, and free quasi-symmetric functions.
- Homological coalgebra
- Properties of free Baxter algebras
- Baxter algebras and shuffle products
- On differential Rota-Baxter algebras.
- Rota–Baxter coalgebras and Rota–Baxter bialgebras
- Hopf Algebras
- FREE ROTA–BAXTER ALGEBRAS AND ROOTED TREES
- Coalgebras and Bialgebras in Combinatorics
- Two dual classes of bialgebras related to the concepts of “quantum group” and “quantum lie algebra”
- Baxter algebras and combinatorial identities. II
- From Rota–Baxter algebras to pre-Lie algebras