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propagateWeights -- propagate (Lie theoretic) weights along equivariant maps

Synopsis

Description

Let $T$ be a torus which acts on a polynomial ring compatibly with the grading. Assume the variables in the ring are weight vectors for the action of $T$.

Use this method on a $T$-equivariant map of graded free modules, to obtain the weights of the domain from the weights of the codomain (or vice-versa).

The weights of the variables in the ring must be set a priori, using the method setWeights.

This method is called by other methods in this package. The only reason for using this method directly is that it returns a complete list of weights for the domain (resp. codomain) of an equivariant map, instead of the highest weights decomposition.

This method implements an algorithm introduced in Galetto - Propagating weights of tori along free resolutions.

See also

Ways to use propagateWeights :

For the programmer

The object propagateWeights is a method function with options.