A new approach to Rota–Baxter coalgebras

DOI10.4064/cm8231-7-2020zbMath1495.16028OpenAlexW3203551955MaRDI QIDQ5066081

Guo-Dong Shi, Shuan-Hong Wang

Publication date: 29 March 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm8231-7-2020

zbMATH Keywords

Rota-Baxter coalgebrasHopf \(\pi\)-algebrasHopf quasicomodule coalgebrasRota-Baxter linear equation systemsYetter-Drinfel'd quasicomodule coalgebras

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05) Associative rings and algebras with additional structure (16W99)

Related Items (1)

Rota–Baxter paired comodules and Rota–Baxter paired Hopf modules

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Projections and Yetter-Drinfel'd modules over Hopf (co)quasigroups
• Polylogarithms and multiple zeta values from free Rota-Baxter algebras
• The structure of Hopf algebras with a projection
• Algebras, hyperalgebras, nonassociative bialgebras and loops
• Hopf quasigroups and the algebraic 7-sphere
• Hopf group-coalgebras
• New Turaev braided group categories and group Schur-Weyl duality.
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• The Drinfel’d double versus the Heisenberg double for Hom-Hopf algebras
• The affineness criterion for quantum Hom-Yetter–Drinfel’d modules
• Rota–Baxter coalgebras and Rota–Baxter bialgebras
• Schur–Weyl quasi-duality and (co)triangular Hopf quasigroups
• Coquasitriangular Hopf Group Algebras and Drinfel'd Co-Doubles
• Rota-Baxter operators on pre-Lie algebras
• A new approach to braided monoidal categories
• Rota–Baxter operators on BiHom-associative algebras and related structures
• Hopf quasicomodules and Yetter-Drinfel’d quasicomodules
• Notes on Drinfeld twists of multiplier Hopf algebras
• Turaev group coalgebras and twisted Drinfeld double
• From Rota–Baxter algebras to pre-Lie algebras
• Morita Contexts, π-Galois Extensions for Hopf π-Coalgebras
• Baxter algebras and combinatorial identities. I
• Quantum invariants of knots and 3-manifolds
• Pre-Poisson algebras

This page was built for publication: A new approach to Rota–Baxter coalgebras