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What (who) is quiver$66270$ - definition
![A y-shaped harness for a back quiver features on this bronze statue of [[Artemis]], goddess of the hunt, mid-4th century BC.](https://commons.wikimedia.org/wiki/Special:FilePath/7333 - Piraeus Arch. Museum, Athens - Artemis - Photo by Giovanni Dall'Orto, Nov 14 2009.jpg?width=200 "A y-shaped harness for a back quiver features on this bronze statue of [[Artemis]], goddess of the hunt, mid-4th century BC.")
![An [[Ottoman Turk]] with a rear-canted belt quiver designed for [[mounted archery]]](https://commons.wikimedia.org/wiki/Special:FilePath/OttomanHorseArcher.jpg?width=200 "An [[Ottoman Turk]] with a rear-canted belt quiver designed for [[mounted archery]]")
 yumi and yebira.jpg?width=200 "Japanese archery equipment including a variety of quivers")
![Fujiwara no Hidesato shooting the giant centipede ([[Tsukioka Yoshitoshi]], 1890)](https://commons.wikimedia.org/wiki/Special:FilePath/Yoshitoshi Fujiwara no Hidesato.jpg?width=200 "Fujiwara no Hidesato shooting the giant centipede ([[Tsukioka Yoshitoshi]], 1890)")
. Glazed brick. From the East Gate of the Palace at Susa, Iran. Achaemenid period, Reign of Darius I, 521-500 BCE. British Museum.jpg?width=200 "Detail. Royal guard carrying a quiver, member of the so-called Immortals (the 1000 special royal guards). From Susa, Iran. 521-500 BCE. British Museum")
Wikipedia
In graph theory, a quiver is a directed graph where loops and multiple arrows between two vertices are allowed, i.e. a multidigraph. They are commonly used in representation theory: a representation V of a quiver assigns a vector space V(x) to each vertex x of the quiver and a linear map V(a) to each arrow a.
In category theory, a quiver can be understood to be the underlying structure of a category, but without composition or a designation of identity morphisms. That is, there is a forgetful functor from Cat to Quiv. Its left adjoint is a free functor which, from a quiver, makes the corresponding free category.
