Domino Fibonacci Tableaux
نویسندگان
چکیده
منابع مشابه
Domino Fibonacci Tableaux
In 2001, Shimozono and White gave a description of the domino Schensted algorithm of Barbasch, Vogan, Garfinkle and van Leeuwen with the “color-to-spin” property, that is, the property that the total color of the permutation equals the sum of the spins of the domino tableaux. In this paper, we describe the poset of domino Fibonacci shapes, an isomorphic equivalent to Stanley’s Fibonacci lattice...
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We elaborate on the results in [CaLe]. We give bijective proofs of a number of identities that were established there, in particular between the Yamanouchi domino tableaux and the Littlewood-Richardson tableaux that correspond to the same tensor product decomposition. 1991 Mathematics Subject Classification: 05E10.
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Inspired by the spin-inversion statistic of Schilling, Shimozono and White [8] and Haglund et al. [2] we relate the symmetry of ribbon functions to a result of van Leeuwen, and also describe the multiplication of a domino function by a Schur function.
متن کاملPlactic relations for r-domino tableaux
The recent work of Bonnafé et al. [2] shows through two conjectures that r-domino tableaux have an important role in Kazhdan-Lusztig theory of type B with unequal parameters. In this paper we provide plactic relations on signed permutations which determine whether given two signed permutations have the same insertion r-domino tableaux in Grafinkle’s algorithm [3]. Moreover, we show that a parti...
متن کاملDomino tableaux, Schützenberger involution, and the symmetric group action
We define an action of the symmetric group S[ n 2 ] on the set of domino tableaux, and prove that the number of domino tableaux of weight β does not depend on the permutation of the weight β. A bijective proof of the well-known result due to J. Stembridge that the number of self–evacuating tableaux of a given shape and weight β = (β1, . . . , β[ n+1 2 ], β[ n2 ], . . . , β1), is equal to that o...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2006
ISSN: 1077-8926
DOI: 10.37236/1071