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changeBaseField -- extend scalars for modules, matrices, and coherent sheaves

Usage:

changeBaseField(L, M)
Inputs:
- L, a ring, a Galois field, or an integer, the new coefficient ring or field data
- M, a module, a matrix, or a coherent sheaf,
Outputs:
- a module,
- a matrix,
- a coherent sheaf,

Description

This function changes the coefficient field or base ring of the input while reusing cached decompositions when possible.

See also

potentialExtension -- suggest a field extension where splitting may become visible
directSummands -- compute the direct summands of a module or coherent sheaf

Ways to use changeBaseField:

changeBaseField(GaloisField,Module)
changeBaseField(Ring,Matrix)
changeBaseField(Ring,Module)
changeBaseField(ZZ,Module)

For the programmer

The object changeBaseField is a method function.

The source of this document is in DirectSummands/docs.m2:680:0.