Implement to_symmetric_group_algebra for all bases of DescentAlgebra

[tscrim]

Because I forgot it.

I also changed the input type of to_symmetric_group_algebra to take actual elements of the parent and the defining action on the basis to the method to_symmetric_group_algebra_on_basis.

CC: @sagetrac-sage-combinat @darijgr

Component: combinatorics

Author: Travis Scrimshaw

Reviewer: Darij Grinberg

Merged: sage-5.13.beta0

Issue created by migration from https://trac.sagemath.org/ticket/15170

[tscrim]

Description changed:

--- 
+++ 
@@ -1 +1,4 @@
 Because I forgot it.
+
+I also changed the input type of `to_symmetric_group_algebra` to take actual elements of the parent and the defining action on the basis to the method `to_symmetric_group_algebra_on_basis`.
+

[darijgr]

comment:2

Attachment: trac_15170-additions_descent_algebra-ts.patch.gz

Nice work!

[tscrim]

Reviewer: Darij Grinberg

[tscrim]

comment:3

Thanks for doing the review.

[jdemeyer]

Merged: sage-5.13.beta0