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- W4297311513 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 by a staircase and a rectangle truncated by a square minus a box. The proofs involve finding the generating function of the corresponding plane partitions using interpretations and formulas for sums of restricted Schur functions and their specializations. The number of standard tableaux is then found as a certain limit of this function." @default.
- W4297311513 created "2022-09-28" @default.
- W4297311513 creator A5049864711 @default.
- W4297311513 date "2010-11-02" @default.
- W4297311513 modified "2023-09-23" @default.
- W4297311513 title "Tableaux and plane partitions of truncated shapes" @default.
- W4297311513 doi "https://doi.org/10.48550/arxiv.1011.0795" @default.
- W4297311513 hasPublicationYear "2010" @default.
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