#14127: class for rook boards (Young shapes, diagram of a permutation)
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Reporter: ahmorales | Owner: ahmorales
Type: enhancement | Status: new
Priority: trivial | Milestone: sage-5.8
Component: combinatorics | Keywords: days45, rook placement,
Rothe diagram, Young diagram, Le diagram
Work issues: | Report Upstream: N/A
Reviewers: chrisjamesberg | Authors: ahmorales
Merged in: | Dependencies:
Stopgaps: |
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Add a class for a Board (subset of entries in [0,1,..,r-1] x [0,1,...,s-1]
). Examples are
* Straight shape
* Skew shape
* Diagram of a permutation
* Hulls of permutations
And procedures to generate:
* placements of non-attacking rooks
* Le diagrams.
References
* Richard Stanley, ''Enumerative Combinatorics'', Volume 1, 2nd Edition,
Ch. 2.3
* Laurent Manivel, ''Symmetric Functions, Schubert polynomials and
Degeneraci Loci'', Ch. 2.
* Sjostrand, J. ''Bruhat intervals as rooks on skew Ferrers boards'', J.
Combin. Theory Ser. A, 2007, 114, 7, 1182-1198
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/14127>
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