#15916: Tensors on free modules of finite rank
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Reporter: egourgoulhon | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.2
Component: linear algebra | Resolution:
Keywords: free module, | Merged in:
tensor, tensor product | Reviewers:
Authors: Eric Gourgoulhon, | Work issues:
Michal Bejger | Commit:
Report Upstream: N/A | e34f29ec69a4595f52894724a5aec22a571c02ce
Branch: | Stopgaps:
u/egourgoulhon/tensor_modules |
Dependencies: |
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Comment (by egourgoulhon):
This ticket implements tensor modules T^(k,l)^(M) of a fixed type (k,l)
over a free module M of finite rank, while #15726 implements the tensor
algebra T(M), which is the direct sum of all T^(k,l)^(M).
Another major difference is that here the base module M is a generic free
module, while in #15726 M is a free module with a distinguished basis (the
classes !TensorModule and !TensorAlgebra of #15726 inherit from class
!CombinatorialFreeModule, which assumes a distinguished basis). In the
present ticket, an arbitrary number of bases can be introduced on the free
module M, along with the change-of-basis automorphisms, and each tensor
has various sets of components, one per basis.
Another difference may regard symmetry/antisymmetry handling: the tensors
implemented in this ticket can have arbitrary symmetries and/or
antisymmetries. The symmetries are taken into account to reduce the
storage of tensor components and to optimize some computations, such as
the tensor product. But maybe something similar is implemented in #15726.
--
Ticket URL: <http://trac.sagemath.org/ticket/15916#comment:5>
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