Skew Domino Schensted Algorithm
نویسنده
چکیده
Using growth diagrams, we define skew domino Schensted algorithm which is a domino analogue of “Robinson-Schensted algorithm for skew tableaux” due to Sagan and Stanley. The color-to-spin property of Shimozono and White is extended. As an application, we give a simple generating function for a weighted sum of skew domino tableaux whose special case is a generalization of Stanley’s sign-imbalance formula. The generating function gives a method to calculate the generalized sign-imbalance formula.
منابع مشابه
N ov 2 00 7 SKEW DOMINO SCHENSTED ALGORITHM AND SIGN - IMBALANCE
Using growth diagrams, we define skew domino Schensted algorithm which is a domino analogue of “Robinson-Schensted algorithm for skew tableaux” due to Sagan and Stanley. The color-to-spin property of Shimozono and White is extended. As an application, we give a simple generating function for a weighted sum of skew domino tableaux whose special case is a generalization of Stanley’s sign-imbalanc...
متن کاملSkew Domino Schensted Algorithm and Sign-imbalance
Using growth diagrams, we define skew domino Schensted algorithm which is a domino analogue of “Robinson-Schensted algorithm for skew tableaux” due to Sagan and Stanley. The color-to-spin property of Shimozono and White is extended. As an application, we give a simple generating function for a weighted sum of skew domino tableaux whose special case is a generalization of Stanley’s sign-imbalanc...
متن کاملProperties of the Robinson-schensted Correspondence for Oscillating and Skew Oscillating Tableaux
In this paper, we consider the Robinson-Schensted correspondence for oscillating tab-leaux and skew oscillating tableaux deened in 15] and 3]. First we give an analogue, for the oscillating tableaux, of the classical geometric construction of Viennot for standard tableaux ((16]). Then, we extend a construction of Sagan and Stanley ((10]), dealing with standard tableaux and skew tableaux, to ded...
متن کاملDomino 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...
متن کاملPii: 0097-3165(90)90066-6
We introduce several analogs of the Robinson-Schensted algorithm for skew Young tableaux. These correspondences provide combinatorial proofs of various identities involving f&,, the number of standard skew tableaux of shape L/p, and the skew Schur functions So..,,. For example, we are able to show bijectively that and 4 S;&)QdY)=C ~p;p(x)~~,p(Y) n (1-%Y,)Y. P 1. I It is then shown that these ne...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008