passing ring argument for SymmetricGroupRepresentation always results in Rational Field for base_ring

[jacksonwalters]

Steps To Reproduce

rho = SymmetricGroupRepresentation([3,1],ring=GF(7**2))._representation_matrix_uncached
rho(Permutation([2,1,3,4])).base_ring()
Rational Field

Expected Behavior

The base_ring for the representation should be whichever ring is passed. In the above case it should be the finite field GF(7**2) and not the rational numbers.

Actual Behavior

The resulting representation matrix is the Rational Field.

Additional Information

There are different ways to instantiate these representations such as SymmetricGroupAlgebra(F,n).specht_module(partition) which do have the expected behavior.

Environment

• OS: macOS 15.2 Sequoia
• Sage Version: 10.5

Checklist

• I have searched the existing issues for a bug report that matches the one I want to file, without success.
• I have read the documentation and troubleshoot guide