Quiver (mathematics) - Definition

Definition

A quiver Γ consists of:

  • The set V of vertices of Γ
  • The set E of edges of Γ
  • Two functions: s:EV giving the start or source of the edge, and another function, t:EV giving the target of the edge.

This definition is identical to that of a multidigraph.

A morphism of quivers is defined as follows. If and are two quivers, then a morphism of quivers consist of two functions and such that following diagrams commute:

and

Read more about this topic:  Quiver (mathematics)

Famous quotes containing the word definition:

    One definition of man is “an intelligence served by organs.”
    Ralph Waldo Emerson (1803–1882)

    It is very hard to give a just definition of love. The most we can say of it is this: that in the soul, it is a desire to rule; in the spirit, it is a sympathy; and in the body, it is but a hidden and subtle desire to possess—after many mysteries—what one loves.
    François, Duc De La Rochefoucauld (1613–1680)

    I’m beginning to think that the proper definition of “Man” is “an animal that writes letters.”
    Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)