Construction of Rota-Baxter algebras via Hopf module algebras.
From MaRDI portal
Publication:487497
DOI10.1007/s11425-014-4845-8zbMath1316.16023arXiv1307.6966OpenAlexW3104151856MaRDI QIDQ487497
Publication date: 22 January 2015
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.6966
Hopf algebrasquantum groupsRota-Baxter operatorsRota-Baxter algebrasHopf module algebrasYetter-Drinfeld module algebras
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ring-theoretic aspects of quantum groups (16T20) Hopf algebras and their applications (16T05)
Related Items (6)
Some results on Rota-Baxter monoidal Hom-algebras ⋮ Rota-Baxter paired modules and their constructions from Hopf algebras ⋮ Cohomolgies of Rota-Baxter operators on Lie superalgebras and some classifications on Witt superalgebras ⋮ Rota-Baxter H-operators and pre-Lie H-pseudoalgebras over a cocommutative Hopf algebra H ⋮ Quasi-idempotent Rota-Baxter operators arising from quasi-idempotent elements ⋮ Rota–Baxter coalgebras and Rota–Baxter bialgebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Polylogarithms and multiple zeta values from free Rota-Baxter algebras
- An analytic problem whose solution follows from a simple algebraic identity
- The structure of Hopf algebras with a projection
- On the classification of finite-dimensional pointed Hopf algebras.
- Quantum groups and quantum shuffles
- Integrable renormalization. II: The general case
- 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
- From quantum quasi-shuffle algebras to braided Rota-Baxter algebras.
- Multi-brace cotensor Hopf algebras and quantum groups
- Rota-Baxter algebras and dendriform algebras.
- Rota-Baxter algebras and new combinatorial identities
- Braided cofree Hopf algebras and quantum multi-brace algebras
- Rota-Baxter operators on pre-Lie algebras
- Spitzer's identity and the algebraic Birkhoff decomposition in pQFT
- From Rota–Baxter algebras to pre-Lie algebras
- Baxter algebras and combinatorial identities. I
- Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
- Pre-Poisson algebras
This page was built for publication: Construction of Rota-Baxter algebras via Hopf module algebras.