Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics comma complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration finite foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).
    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeJun 1st 2019

    Added reference to a generalization of the Karoubi envelope for n-categories in

    diff, v34, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJun 2nd 2019

    Very interesting to see a physicist like Davide Gaiotto coauthor an article with some substantial abstract category theory in it.

    • CommentRowNumber3.
    • CommentAuthorvarkor
    • CommentTimeMay 9th 2023

    Add what I believe is the original reference for the term “Karoubi envelope”.

    diff, v36, current

    • CommentRowNumber4.
    • CommentAuthorvarkor
    • CommentTimeMay 9th 2023

    Hayashi says that Karoubi introduced this construction in K-Theory, but I haven’t tried to find where exactly it is introduced (and under what name).

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 9th 2023

    Thanks! (For bystanders: This comes from discussion in another thread, here)

    I have added the full publication data

    diff, v37, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMay 9th 2023

    Hayashi says that Karoubi introduced this construction in K-Theory, but I haven’t tried to find where exactly it is introduced (and under what name).

    Looks to me like Hayashi must have been thinking of Teorem 6.10 in Karoubi’s “K-theory”. I’ll add the pointer to the entry now…

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeMay 9th 2023

    After “appears to have been introduced in…” I have now added:

    … apparently in reference to the construction in:

    diff, v37, current