Root -- the class of roots (or, more generally, elements of the root lattice)

Methods that use an object of class Root:

• addRoots(RootSystem,Root,Root) -- the sum of two roots
• eval(RootSystem,Weight,Root) -- evaluate the dual of a root at a Weight
• eval(RootSystem,ZZ,Root) -- evaluate the dual of a root at a fundamental weight
• isRoot(RootSystem,Parabolic,Root) -- check whether a root is in the sub root system of the parabolic
• norm(RootSystem,Root) -- the squared norm of a root
• reflect(RootSystem,BasicList,Root) -- apply to a root several reflections with respect to simple roots
• reflect(RootSystem,ZZ,Root) -- apply to a root the reflection with respect to a simple root
• reflection(RootSystem,Root) -- the reflection with respect to a root
• rootCoefficients(RootSystem,Root) -- the coefficients at the simple roots
• WeylGroupElement * Root -- apply an element of a Weyl group to a root
• ZZ * Root -- multiplication of a root by an integer

For the programmer

The object Root is a type, with ancestor classes Weight < Vector < BasicList < Thing.