The major index generating function of standard Young tableaux of shapes of the form “staircase minus rectangle”
نویسنده
چکیده
A specialisation of a transformation formula for multi-dimensional elliptic hypergeometric series is used to provide compact, non-determinantal formulae for the generating function with respect to the major index of standard Young tableaux of skew shapes of the form “staircase minus rectangle”.
منابع مشابه
Tableaux and plane partitions of truncated shapes ( extended abstract )
We consider a new kind of straight and shifted plane partitions/Young tableaux — ones whose diagrams are no longer of partition shape, but rather Young diagrams with boxes erased from their upper right ends. We find formulas for the number of standard tableaux in certain cases, namely a shifted staircase without the box in its upper right corner, i.e. truncated by a box, a rectangle truncated b...
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تاریخ انتشار 2014