#14881: Some symmetric group algebra modifications
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Reporter: darij | Owner: sage-
Type: defect | combinat
Priority: major | Status:
Component: combinatorics | needs_review
Keywords: permutations, symmetric group | Milestone:
algebra, combinat, | sage-5.12
Authors: Darij Grinberg | Resolution:
Report Upstream: N/A | Merged in:
Branch: | Reviewers: Travis
Stopgaps: | Scrimshaw
| Work issues:
| Dependencies: #14772,
| #14101
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Comment (by darij):
Hi Travis,
I've got the {{{a}}} and {{{b}}} names from §4.12 of Pavel Etingof et
al.'s representation theory notes ( http://www-
math.mit.edu/~etingof/replect.pdf ). They also appear in
http://en.wikipedia.org/wiki/Young_symmetrizer and in §4.1 of Fulton-
Harris (not a good reference if you ask me). Ironically, it seems that
most of the deeper-going texts on representations of S_n (James, James-
Kerber, Sagan) avoid Young symmetrizers completely, so it's hard to tell
what is standard.
I'll make the changes you've asked for in a moment.
Best regards,
Darij
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Ticket URL: <http://trac.sagemath.org/ticket/14881#comment:13>
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