Rota–Baxter algebras and dendriform algebras

@inproceedings{EbrahimiFard2008RotaBaxterAA,
  title={Rota–Baxter algebras and dendriform algebras},
  author={Kurusch Ebrahimi-Fard and Li Guo},
  year={2008}
}
  • Kurusch Ebrahimi-Fard, Li Guo
  • Published 2008
  • Mathematics
  • Abstract In this paper we study the adjoint functors between the category of Rota–Baxter algebras and the categories of dendriform dialgebras and trialgebras. In analogy to the well-known theory of the adjoint functor between the category of associative algebras and Lie algebras, we first give an explicit construction of free Rota–Baxter algebras and then apply it to obtain universal enveloping Rota–Baxter algebras of dendriform dialgebras and trialgebras. We further show that free dendriform… CONTINUE READING

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