Embedding of dendriform algebras into Rota-Baxter algebras
From MaRDI portal
Publication:1935612
DOI10.2478/s11533-012-0138-zzbMath1262.18009arXiv1107.6021OpenAlexW1996280949MaRDI QIDQ1935612
Pavel Sergeevich Kolesnikov, Vsevolod Yur'evich Gubarev
Publication date: 18 February 2013
Published in: Central European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.6021
Related Items (38)
Jordan trialgebras and post-Jordan algebras ⋮ Special identities for the pre-Jordan product in the free dendriform algebra ⋮ Cohomology and deformations of dendriform algebras, and Dend∞-algebras ⋮ Independence of axioms of an associative trioid ⋮ Rota-Baxter operators on the simple Jordan superalgebra \(D_t \) ⋮ On the embedding of left-symmetric algebras into differential Perm-algebras ⋮ Splitting of operads and Rota-Baxter operators on operads ⋮ Simple associative \(\Gamma\)-conformal algebras of finite type for a torsion-free group \(\Gamma\) ⋮ Averaging algebras, Schröder numbers, rooted trees and operads ⋮ Compatible structures of nonsymmetric operads, Manin products and Koszul duality ⋮ Rota-Baxter operators on groups ⋮ Unnamed Item ⋮ Rota-Baxter operators of weight zero on simple Jordan algebra of Clifford type ⋮ The least dimonoid congruences on free \(n\)-nilpotent trioids ⋮ Splitting of operations for alternative and Malcev structures ⋮ Rota–Baxter operators on a sum of fields ⋮ Free commutative trioids ⋮ Rota-Baxter operators and Bernoulli polynomials ⋮ Free Lie Rota-Baxter algebras ⋮ Rota-Baxter operators on quadratic algebras ⋮ Universal enveloping Lie Rota-Baxter algebras of pre-Lie and post-Lie algebras ⋮ Universal enveloping commutative Rota-Baxter algebras of pre- and post-commutative algebras ⋮ Reynolds algebras and their free objects from bracketed words and rooted trees ⋮ Groebner-Shirshov basis of the universal enveloping Rota-Baxter algebra of a Lie algebra ⋮ Universal enveloping associative Rota-Baxter algebras of preassociative and postassociative algebra ⋮ Rota–Baxter coalgebras and Rota–Baxter bialgebras ⋮ Decompositions of algebras and post-associative algebra structures ⋮ Matching Rota-Baxter algebras, matching dendriform algebras and matching pre-Lie algebras ⋮ Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras ⋮ Rota-Baxter operators on unital algebras ⋮ Quadratic Leibniz conformal algebras ⋮ Certain congruences on free trioids ⋮ Rota-Baxter groups, skew left braces, and the Yang-Baxter equation ⋮ Dendriform Analogues of Lie and Jordan Triple Systems ⋮ The Cayley–Dickson process for dialgebras ⋮ Homogeneous averaging operators on simple finite conformal Lie algebras ⋮ Dendriform algebras relative to a semigroup ⋮ RELATIVE ROTA–BAXTER OPERATORS AND TRIDENDRIFORM ALGEBRAS
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gröbner-Shirshov bases for Rota-Baxter algebras.
- An analytic problem whose solution follows from a simple algebraic identity
- What is a classical r-matrix?
- Homology of generalized partition posets
- Some results on L-dendriform algebras
- Universal enveloping algebras of Leibniz algebras and (co)homology
- A noncommutative version of Lie algebras: Leibniz algebras
- Koszul duality for operads
- Construction of Nijenhuis operators and dendriform trialgebras
- Loday-type algebras and the Rota-Baxter relation
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- Rota-Baxter algebras and dendriform algebras.
- On products and duality of binary, quadratic, regular operads
- Mixable shuffles, quasi-shuffles and Hopf algebras.
- The geometry of iterated loop spaces
- On the structure of free Baxter algebras
- SPECIAL AND EXCEPTIONAL JORDAN DIALGEBRAS
- The Tits–Kantor–Koecher Construction for Jordan Dialgebras
- Embedding dendriform algebra into its universal enveloping Rota-Baxter algebra
- Encyclopedia of Types of Algebras 2010
- $\mathcal{O}$-OPERATORS ON ASSOCIATIVE ALGEBRAS, ASSOCIATIVE YANG-BAXTER EQUATIONS AND DENDRIFORM ALGEBRAS
- A Combinatorial Lemma and Its Application to Probability Theory
- Manin products, Koszul duality, Loday algebras and Deligne conjecture
- Baxter algebras and combinatorial identities. II
- Γ -conformal algebras
- Baxter algebras and Hopf algebras
- Splitting of Operations, Manin Products, and Rota–Baxter Operators
- Identities of Conformal Algebras and Pseudoalgebras
- Algebraic Operads
- Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
- Pre-Poisson algebras
- Theory of finite pseudoalgebras
- Derived bracket construction and Manin products
- Solutions of the classical Yang-Baxter equation for simple Lie algebras
This page was built for publication: Embedding of dendriform algebras into Rota-Baxter algebras
