def __init__(self, R, n, r):
"""
Initialize ``self``.
TESTS::
sage: T = SchurTensorModule(QQ, 2, 3)
sage: TestSuite(T).run()
"""
C = CombinatorialFreeModule(R, range(1, n + 1))
self._n = n
self._r = r
self._sga = SymmetricGroupAlgebra(R, r)
self._schur = SchurAlgebra(R, n, r)
CombinatorialFreeModule_Tensor.__init__(self, tuple([C] * r))
g = self._schur.module_morphism(self._monomial_product, codomain=self)
self._schur_action = self.module_morphism(g, codomain=self, position=1)
def __init__(self, R, n, r):
"""
Initialize ``self``.
TESTS::
sage: T = SchurTensorModule(QQ, 2, 3)
sage: TestSuite(T).run()
"""
C = CombinatorialFreeModule(R, range(1, n + 1))
self._n = n
self._r = r
self._sga = SymmetricGroupAlgebra(R, r)
self._schur = SchurAlgebra(R, n, r)
CombinatorialFreeModule_Tensor.__init__(self, tuple([C] * r))
g = self._schur.module_morphism(self._monomial_product, codomain=self)
self._schur_action = self.module_morphism(g, codomain=self, position=1)
def __init__(self, R, n, r):
"""
Initialize ``self``.
TESTS::
sage: T = SchurTensorModule(QQ, 2, 3)
sage: TestSuite(T).run()
"""
C = CombinatorialFreeModule(R, list(range(1, n + 1)))
self._n = n
self._r = r
self._sga = SymmetricGroupAlgebra(R, r)
self._schur = SchurAlgebra(R, n, r)
cat = ModulesWithBasis(R).TensorProducts().FiniteDimensional()
CombinatorialFreeModule_Tensor.__init__(self, tuple([C] * r), category=cat)
g = self._schur.module_morphism(self._monomial_product, codomain=self)
self._schur_action = self.module_morphism(g, codomain=self, position=1)