On free Baxter algebras: Completions and the internal construction
From MaRDI portal
Publication:1977176
DOI10.1006/aima.1999.1867zbMath0964.16027arXivmath/0407156OpenAlexW2088653945MaRDI QIDQ1977176
Publication date: 13 July 2000
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0407156
filtrationsshuffle productsfree Baxter algebrasshuffle Baxter algebrasstandard Baxter algebrasBaxter subalgebras
Combinatorial identities, bijective combinatorics (05A19) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10)
Related Items (45)
ASCENDING CHAIN CONDITIONS IN FREE BAXTER ALGEBRAS ⋮ Binary shuffle bases for quasi-symmetric functions ⋮ Gröbner–Shirshov bases for commutative algebras with multiple operators and free commutative Rota–Baxter algebras ⋮ Free Rota-Baxter systems and a Hopf algebra structure ⋮ Braided Rota–Baxter algebras, quantum quasi-shuffle algebras and braided dendriform algebras ⋮ Localization of Rota-Baxter algebras ⋮ On integro-differential algebras. ⋮ Gröbner–Shirshov bases for Lie Ω-algebras and free Rota–Baxter Lie algebras ⋮ Modules of non-unital polynomial Rota-Baxter algebras ⋮ Rota-Baxter Leibniz algebras and their constructions ⋮ Polylogarithms and multiple zeta values from free Rota-Baxter algebras ⋮ Rota-Baxter algebras and left weak composition quasi-symmetric functions ⋮ Free Rota-Baxter family algebras and free (tri)dendriform family algebras ⋮ FREE ROTA–BAXTER ALGEBRAS AND ROOTED TREES ⋮ Twisted dendriform algebras and the pre-Lie Magnus expansion ⋮ Classification of operator extensions, monad liftings and distributive laws for differential algebras and Rota–Baxter algebras ⋮ Renormalization of multiple zeta values ⋮ Rota-Baxter algebras and dendriform algebras. ⋮ Generating functions from the viewpoint of Rota-Baxter algebras ⋮ On differential Rota-Baxter algebras. ⋮ Constructions of Free Commutative Integro-Differential Algebras ⋮ On \(q\)-analogues of multiple zeta values ⋮ COMPOSITION-DIAMOND LEMMA FOR λ-DIFFERENTIAL ASSOCIATIVE ALGEBRAS WITH MULTIPLE OPERATORS ⋮ Free Lie Rota-Baxter algebras ⋮ Rota–Baxter Hom-Lie–Admissible Algebras ⋮ Rota-Baxter operators on 4-dimensional complex simple associative algebras ⋮ CONSTRUCTION OF FREE COMMUTATIVE INTEGRO-DIFFERENTIAL ALGEBRAS BY THE METHOD OF GRÖBNER–SHIRSHOV BASES ⋮ On products and duality of binary, quadratic, regular operads ⋮ Enumeration and generating functions of Rota-Baxter words. ⋮ Modified Rota-Baxter algebras, shuffle products and Hopf algebras ⋮ Mixable shuffles, quasi-shuffles and Hopf algebras. ⋮ Baxter algebras and Hopf algebras ⋮ On weak peak quasisymmetric functions ⋮ Baxter algebras and the umbral calculus ⋮ Free (tri)dendriform family algebras ⋮ Free objects and Gröbner-Shirshov bases in operated contexts ⋮ Operated semigroups, Motzkin paths and rooted trees ⋮ Free nonunitary Rota-Baxter family algebras and typed leaf-spaced decorated planar rooted forests ⋮ Free Rota-Baxter family algebras and (tri)dendriform family algebras ⋮ ROTA–BAXTER OPERATORS ON GENERALIZED POWER SERIES RINGS ⋮ Differential algebraic Birkhoff decomposition and the renormalization of multiple zeta values ⋮ Properties of free Baxter algebras ⋮ Gröbner-Shirshov bases for associative algebras with multiple operators and free Rota-Baxter algebras. ⋮ Structure Theorems of Mixable Shuffle Algebras ⋮ On Bradley's \(q\)-MZVs and a generalized Euler decomposition formula
Cites Work
- An analytic problem whose solution follows from a simple algebraic identity
- Properties of free Baxter algebras
- Baxter algebras and shuffle products
- On the structure of free Baxter algebras
- On the ring of hurwitz series
- Baxter algebras and combinatorial identities. I
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On free Baxter algebras: Completions and the internal construction
