Monads on tensor categories
By Ieke Moerdijk. 2002
133 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/e76710a7c7a4f27686c2c9f8b805b01a4003ab44
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- G. Bòhm
- Stephen Lack
- Ross Street
- Alexis Virelizier
- Alain Bruguières
- Korn'el Szlach'anyi
- Brian Day
- Robert Wisbauer
In Geometry and Topology
- G. Bòhm
- Ross Street
- Stephen Lack
- Korn'el Szlach'anyi
- Robert Wisbauer
- Alexis Virelizier
- Alain Bruguières
- Brian Day
In Mathematical Physics
- G. Bòhm
- Ross Street
- Stephen Lack
- Korn'el Szlach'anyi
- Robert Wisbauer
- Alexis Virelizier
- Alain Bruguières
- Brian Day
Citations in the corpus
- The monoidal Eilenberg–Moore construction and bialgebroids (2002, background): “l structures. Such monads will be called bimonads. Bimonads are the abstract versions of bialgebras in the same spirit as monads are related to algebras. Bimonads first appeared in the work of Moerdijk[16] under the name Hopf monads. He was motivated by generalizing the notion of Hopf operad. In our ”
- Exact sequences of tensor categories (2010, background): “Bimonads are introduced in [20] under the name Hopf monads.”
- Hopf monads (2006, methodology): “The answer lies in the notion of bimonad introduced by Moerdijk [11].”
- Skew-monoidal categories and bialgebroids (2012, background): “As it was observed in [25] a bimodule H is a bialgebroid precisely if ⊗Re H is an opmonoidal monad [19, 17].”
- A 2-Categories Companion (2007, background): “Monads in the 2-category OpMonCat of monoidal categories, opmonoidal functors, and opmonoidal natural transformations are called opmonoidal monads, or sometimes Hopf monads (see [47]).”
- Hopf Algebroids (2008, background): “a Hopf monad in the terminology of [49] (called a bimonad in [68]).”
- MONADS AND COMONADS ON MODULE CATEGORIES (2008, background): “Note that these terms have different meanings in Moerdijk [21] and Bruguières-Virelizier [6].”
- Bimonads and Hopf monads on categories (2007, background): “2], Hopf operads are defined in the sense of Moerdijk [22] and thus the coalgebraic part is dependent on the tensor product.”
- Quantum categories, star autonomy, and quantum groupoids (2003, background): “coalgebras in such a way that the forgetful functor is strong monoidal (see [ Mo ] or [McC]”
- Hopf monads on monoidal categories (2010, background): “The concept of bimonad (also called opmonoidal monad) was introduced by Moerdijk in [18].”