﻿id,summary,reporter,owner,description,type,status,priority,milestone,component,resolution,keywords,cc,merged,author,reviewer,upstream,work_issues,branch,commit,dependencies,stopgaps 14127,"class for rook boards (Young shapes, diagram of a permutation)",ahmorales,ahmorales,"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",enhancement,new,trivial,sage-6.4,combinatorics,,"days45, rook placement, Rothe diagram, Young diagram, Le diagram",,,ahmorales,chrisjamesberg,N/A,,,,,