Put tensor modules of FiniteRankFreeModule in Modules().TensorProducts()

[mkoeppe]

... and add the method tensor_factors (#34393)

also add construction functors for tensor modules, extending #30235.

Depends on #34424
Depends on #34393
Depends on #31276
Depends on #30235
Depends on #30229
Depends on #30241
Depends on #34501

CC: @tscrim @egourgoulhon @fchapoton

Component: categories

Author: Matthias Koeppe

Branch/Commit: e10f9cf

Reviewer: Eric Gourgoulhon

Issue created by migration from https://trac.sagemath.org/ticket/34448

[mkoeppe]

Changed dependencies from #34424, #34393, #31276 to #34424, #34393, #31276, #30235

[mkoeppe]

Description changed:

--- 
+++ 
@@ -1 +1,4 @@
 ... and add the method `tensor_factors` (#34393)
+
+also add construction functors for tensor modules and submodules, extending #30235
+

[mkoeppe]

Changed dependencies from #34424, #34393, #31276, #30235 to #34424, #34393, #31276, #30235, #30229

[mkoeppe]

Branch: u/mkoeppe/put_tensor_modules_of_finiterankfreemodule_in_modules___tensorproducts__

[mkoeppe]

Last 10 new commits:

e31bdac	TensorFreeModule._an_element_: Pass parent to element class
e7d5e77	TensorFreeModule._an_element_: Use element constructor
18d3dbe	TensorFreeSubmodule_comp._is_symmetry_coarsening_of: Update example
3f1c33d	TensorFreeSubmoduleBasis_comp.__init__: Add doctest
9378a78	src/sage/tensor/modules/finite_rank_free_module.py: Update doctest output
66874a9	src/sage/sets/family.py: Add doctest
877d17e	Merge #30300
cb43784	Merge #30229
9ce4fed	FiniteRankFreeModule, VectorFieldModule, VectorFieldFreeModule: Method tensor has to double as the functorial construction
87c9392	TensorFreeModule: Use Modules().TensorProducts() except for type (0,1)

[mkoeppe]

Commit: 87c9392

[mkoeppe]

Author: Matthias Koeppe

[sagetrac-git]

Changed commit from 87c9392 to d92122d

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

d92122d

src/sage/tensor/modules/tensor_free_submodule.py: Add comment

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. Last 10 new commits:

39bfe8d	Merge #34451
bec2f65	CompWithSym._canonicalize_sym_antisym: Refactor, fix index validation, add tests
66009e7	src/sage/tensor/modules/comp.py: Fix docstring
64e3c1d	Merge #34451
7474abb	FiniteRankFreeModule_abstract.tensor_product: Handle submodules with symmetries
ed3c8d9	src/sage/tensor/modules/finite_rank_free_module.py (FiniteRankFreeModule_abstract.is_submodule): Fix typo in doctest
fd89892	src/sage/tensor/modules/tensor_free_submodule[_basis].py, finite_rank_free_module.py: Update AUTHORS
644933a	src/sage/tensor/modules/finite_rank_free_module.py: Update copyright according to git blame -w --date=format:%Y FILE | sort -k2
45bf6f3	FiniteRankFreeModule_abstract.tensor_product: Add comment
64a6ca3	Merge #30229

[sagetrac-git]

Changed commit from d92122d to 64a6ca3

[sagetrac-git]

Changed commit from 64a6ca3 to 76476a0

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

76476a0

VectorField[Free]Module.tensor_module: Accept trivial sym, antisym parameters

[mkoeppe]

Description changed:

--- 
+++ 
@@ -1,4 +1,4 @@
 ... and add the method `tensor_factors` (#34393)
 
-also add construction functors for tensor modules and submodules, extending #30235
+also add construction functors for tensor modules, extending #30235.
 

[sagetrac-git]

Branch pushed to git repo; I updated commit sha1. New commits:

dd6cc0e	Merge branch 'u/chapoton/tensor_components' in 9.7.rc0
b81dbf0	fix doctest
f1c7aab	Merge #34393
803f7e4	Make FiniteRankFreeModule.tensor_module(0, 1) return the dual (#34474)
0648daa	Merge #34474
fc66ad1	FiniteRankFreeModule.dual_symmetric_power: Update for changes in #34474
457572b	Merge #30229
8db6cc5	TensorFreeModule.tensor_factors: Use dual