#18665: Add verbose method names for primitive central and seminormal
idempotents
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Reporter: s.r.doty | Owner:
Type: | Status: new
enhancement | Milestone: sage-6.8
Priority: trivial | Keywords: days65, symmetric group
Component: | algebra, idempotents
combinatorics | Authors: Stephen Doty
Merged in: | Report Upstream: N/A
Reviewers: | Branch:
Work issues: | Dependencies:
Commit: |
Stopgaps: |
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The SymmetricGroupAlgebra class has methods (cpi, cpis, and epsilon_ik
whose names do not advertise their function. These should be renamed to
something more appropriate. For example,
{{{
cpi = central_primitive_idempotent
cpis = central_primitive_idempotents
epsilon_ik = seminormal_basis_element
}}}
Also, there should be a separate function for `seminormal_idempotent`
which is the equivalent of running `epsilon_ik` with both input tableaux
the same. I.e., this new function should return the seminormal idemotent
indexed by a given standard tableau.
--
Ticket URL: <http://trac.sagemath.org/ticket/18665>
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