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 complex complex-geometry computable-mathematics computer-science constructive cosmology definitions deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration 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 nforum 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.
    • CommentAuthorTobyBartels
    • CommentTimeOct 16th 2009

    Hugh Thomas joined to edit quiver

    • CommentRowNumber2.
    • CommentAuthorHugh_Thomas
    • CommentTimeOct 16th 2009
    Yes, it's true! (Thanks for correcting my syntax, Toby.) I wandered over from Secret Blogging Seminar.

    My interests (representation theory of algebras, algebraic combinatorics) might be a bit marginal to the main interests of the nLab, but I sometimes have the feeling that there might be connections from some of what I'm doing to higher category theory. Plus I like the idea of co-operation.
    • CommentRowNumber3.
    • CommentAuthorTobyBartels
    • CommentTimeOct 16th 2009

    Welcome and thanks!

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 16th 2009

    originally the entry said that "a quiver is a free category on a directed graph".

    Since this is not the way quivers are thought of in the traditional literature, I have now reworked the entry a bit. Starting from saying what the usual literature has I try to motivate why it may be better to identify the concept of quiver with that of free category.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeOct 16th 2009

    One should maybe remakr that this is a situation similar to functor/presheaf. As entities both are the same, but the different names indicate different things we want to do with them.