Quiver

A directed multigraph named by its vertex count and its arrows as $(\text{from},\text{to})$ pairs — loops and parallel arrows allowed.

Quiver(vertices, arrows)the quiver on that many vertices with those arrows

Typed signatures

Type	Package	Applies
(integer, list<list<integer>>) -> expression<Quiver>	quiver	always

Domain: Path algebras

Examples

Basic #

Parallel arrows are distinct basis elements

live ↗

In$\mathrm{AlgebraDimension}(\mathrm{PathAlgebra}(\mathrm{Quiver}(2, \bigl\lbrack\bigl\lbrack1, 2\bigr\rbrack, \bigl\lbrack1, 2\bigr\rbrack\bigr\rbrack)))$Out$4$

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Examples	1

See also: QuiverPath, LinearQuiver, PathAlgebra