schur functions construct elements with coefficients in the wrong base ring #33313
Description
sage: Sym = SymmetricFunctions(QQ['t'])
sage: Sym.schur()([[2], [1]]) / 2
---------------------------------------------------------------------------
ValueError Traceback (most recent call last)
Input In [51], in <module>
----> 1 Sym.schur()([[Integer(2)], [Integer(1)]]) / Integer(2)
File /usr/lib/python3.10/site-packages/sage/modules/with_basis/indexed_element.pyx:896, in sage.modules.with_basis.indexed_element.IndexedFreeModuleElement.__truediv__ (build/cythonized/sage/modules/with_basis/indexed_element.c:9578)()
File /usr/lib/python3.10/site-packages/sage/categories/rings.py:1349, in Rings.ElementMethods._divide_if_possible(self, y)
1347 q, r = self.quo_rem(y)
1348 if r != 0:
-> 1349 raise ValueError("%s is not divisible by %s"%(self, y))
1350 return q
ValueError: 1 is not divisible by 2
The underlying reason for this error is that coefficients are stored as integers
sage: Sym.schur()([[2], [1]]).coefficients()[0].parent()
Integer Ring
Original report https://groups.google.com/g/sage-support/c/vxgtsSwJxXE
Depends on #33267
CC: @tscrim
Component: combinatorics
Author: Travis Scrimshaw
Branch: 5ffa2f0
Reviewer: Vincent Delecroix
Issue created by migration from https://trac.sagemath.org/ticket/33313