English

Hopf monoidal comonads

Category Theory 2011-04-14 v2 Quantum Algebra

Abstract

Alain Bruguieres, in his talk [1], announced his work [2] with Alexis Virelizier and the second author which dealt with lifting closed structure on a monoidal category to the category of Eilenberg-Moore algebras for an opmonoidal monad. Our purpose here is to generalize that work to the context internal to an autonomous monoidal bicategory. The result then applies to quantum categories and bialgebroids.

Keywords

Cite

@article{arxiv.1002.1122,
  title  = {Hopf monoidal comonads},
  author = {Dimitri Chikhladze and Stephen Lack and Ross Street},
  journal= {arXiv preprint arXiv:1002.1122},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T14:43:39.148Z