On Volume Functions of Special Flow Polytopes Associated to the Root System of Type $A$
Copyright policy )On Volume Functions of Special Flow Polytopes Associated to the Root System of Type $A$
In this paper, we consider the volume of a special kind of flow polytope. We show that its volume satisfies a certain system of differential equations, and conversely, the solution of the system of differential equations is unique up to a constant multiple. In addition, we give an inductive formula for the volume with respect to the rank of the root system of type $A$.
- Mie Chukyo University Japan
volume, Special polytopes (linear programming, centrally symmetric, etc.), flow polytope, root system of type \(A\), Asymptotic enumeration, Length, area and volume in real or complex geometry
volume, Special polytopes (linear programming, centrally symmetric, etc.), flow polytope, root system of type \(A\), Asymptotic enumeration, Length, area and volume in real or complex geometry
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