Free nonunitary Rota-Baxter family algebras and typed leaf-spaced decorated planar rooted forests
DOI10.1515/math-2020-0059zbMath1482.17037OpenAlexW3099409637MaRDI QIDQ2053496
Dan Chen, Zhicheng Zhu, Yuanyuan Zhang, Jin-Wei Wang
Publication date: 29 November 2021
Published in: Open Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/math-2020-0059
Rota-Baxter algebrasleaf-spacedparallelly typed leaf-spaced decoratedRota-Baxter family algebrastyped decorated rooted forests
Trees (05C05) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Connections of Hopf algebras with combinatorics (16T30) Yang-Baxter equations and Rota-Baxter operators (17B38)
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Cites Work
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- \(\mathcal O\)-operators on associative algebras and associative Yang-Baxter equations.
- Free integro-differential algebras and Gröbner-Shirshov bases.
- Algebraic Birkhoff factorization and the Euler-Maclaurin formula on cones
- Hopf-algebraic structure of families of trees
- An analytic problem whose solution follows from a simple algebraic identity
- Operated semigroups, Motzkin paths and rooted trees
- Gröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras.
- Hopf algebras, renormalization and noncommutative geometry
- Comparison of Hopf algebras on trees.
- The Hopf algebras of decorated rooted trees. I
- Algebraic renormalisation of regularity structures
- Baxter algebras and shuffle products
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- On free Baxter algebras: Completions and the internal construction
- Free (tri)dendriform family algebras
- Free Rota-Baxter family algebras and (tri)dendriform family algebras
- Rota-Baxter algebras and dendriform algebras.
- A Lie theoretic approach to renormalization
- On the structure of free Baxter algebras
- Hopf algebras of rooted forests, cocyles, and free Rota-Baxter algebras
- FREE ROTA–BAXTER ALGEBRAS AND ROOTED TREES
- Combinatorics of rooted trees and Hopf algebras
- Spitzer's identity and the algebraic Birkhoff decomposition in pQFT
- CONSTRUCTION OF FREE COMMUTATIVE INTEGRO-DIFFERENTIAL ALGEBRAS BY THE METHOD OF GRÖBNER–SHIRSHOV BASES
- From Rota–Baxter algebras to pre-Lie algebras
- Baxter algebras and combinatorial identities. I
- Coefficients for the study of Runge-Kutta integration processes
- An Algebraic Theory of Integration Methods
- Pre-Poisson algebras
- On the associative analog of Lie bialgebras
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