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Pattern avoidance for alternating permutations and Young tableaux
Journal of Combinatorial Theory - Series A, 2011 AbstractWe define a class Ln,k of permutations that generalizes alternating (up–down) permutations and give bijective proofs of certain pattern-avoidance results for this class. As a special case of our results, we give bijections between the set A2n(1234) of alternating permutations of length 2n with no four-term increasing subsequence and standard ...
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Combinatorial Hopf algebras, noncommutative Hall–Littlewood functions, and permutation tableaux
Advances in Mathematics, 2010 37 pages, 4 figures, new references ...
Novelli, Jean-Christophe +2 more
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Representations of the Permutation Group and Young Tableaux
1989Up to now we have studied the unitary groups SU(N), especially those with N = 2, 3, 4 and 6 dimensions. Now we want to discuss some properties of the permutation group S N , which is also called the symmetric group. The group S N is important if we have to deal with several identical particles. In this section we will aquaint ourselves with the concept
Walter Greiner, Berndt Müller
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Bijections for permutation tableaux
European Journal of Combinatorics, 2009Sylvie Corteel, Philippe Nadeau
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Permutation statistics and weak Bruhat order in permutation tableaux of type B
European Journal of Combinatorics, 2015Soojin Cho
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The structure of alternative tableaux
Journal of Combinatorial Theory - Series A, 2011Philippe Nadeau
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Ascending subsequences of permutations and Young tableaux
Advances in Applied Probability, 1992openaire +1 more source