An overview is provided of some of the basic facts concerning rim hook lattices and ribbon tableaux, using a representation of partitions by their edge sequences. An action is defined for the affine Coxeter group of type Γr-1 on the r -rim hook lattice, and thereby on the sets of standard and semist
Ascending subsequences of permutations and the shapes of tableaux
β Scribed by Herbert S Wilf
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 117 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Proving a first nontrivial instance of a conjecture of Noonan and Zeilberger we Ε½ . show that the number S n of permutations of length n containing exactly r r subsequences of type 132 is a P-recursive function of n. We show that this remains true even if we impose some restrictions on the permutati
It is proved that the number of permuations on {I, 2, ... , n} with exactly one increasing subsequence of length 3 is ~(ntn3) [0,0,1,6,27,110,429, ... (Sloane A3517)]. Given a permutaion a E Sn, an abc subsequence is a set of three elements, a(i), aU), a(k), with a(i) < aU) < a(k) and i < j < k. It
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