Permutation sign under the Robinson-Schensted correspondence
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Publication:1889894
DOI10.1007/s00026-004-0208-4zbMath1053.05123arXivmath/0309266OpenAlexW2034887759MaRDI QIDQ1889894
Publication date: 13 December 2004
Published in: Annals of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0309266
tableauxpermutationKnuth equivalenceRobinson-Schensted correspondencesignsign-imbalanceBeissinger algorithm
Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10)
Related Items (17)
On the sign-imbalance of skew partition shapes ⋮ The odd Littlewood-Richardson rule ⋮ On the sign representations for the complex reflection groups \(G(r,p,n)\) ⋮ Growth diagrams, domino insertion and sign-imbalance ⋮ Sign under the domino Robinson-Schensted maps ⋮ Monodromy in Kazhdan-Lusztig cells in affine type A ⋮ Signed differential posets and sign-imbalance ⋮ The number of inversions of permutations with fixed shape ⋮ Sign balances and promotion order of Young-Fibonacci tableaux ⋮ The Hopf algebra of odd symmetric functions ⋮ Sign-balances of tableaux with at most three rows ⋮ Inner tableau translation property of the weak order and related results ⋮ Increasing and decreasing sequences in fillings of moon polyominoes ⋮ On \(q\)-symmetric functions and \(q\)-quasisymmetric functions ⋮ Skew domino Schensted correspondence and sign-imbalance ⋮ On the sign-imbalance of partition shapes ⋮ Minimal and maximal elements in two-sided cells of \(S_n\) and Robinson-Schensted correspondence
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