Super RSK Correspondence with Symmetry
نویسندگان
چکیده
منابع مشابه
Super Rsk - Algorithms and Super
We construct the analogue of the plactic monoid for the super semistandard Young tableaux over a signed alphabet. This is done by developing a generalization of the Knuth's relations. Moreover we get generalizations of Greene's invariants and Young-Pieri rule. A generalization of the symmetry theorem in the signed case is also obtained. Except for this last result, all the other results are pro...
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A matrix M with nonnegative integer entries is minimal if the nonincreasing sequence of its entries (called π-sequence) is minimal, in the dominance order of partitions, among all nonincreasing sequences of entries of matrices with nonnegative integers that have the same 1-marginals as A. The starting point for this work is an identity that relates the number of minimal matrices that have fixed...
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Super symmetry is a type of matrix-based symmetry that extends the concept of total symmetry. Super symmetric functions are “even more symmetric” than totally symmetric functions. Even if a function is not super symmetric, the super symmetric transpose matrices can be used to detect partial super symmetries. These partial symmetries can be mixed arbitrarily with ordinary symmetric variable pair...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2019
ISSN: 1077-8926
DOI: 10.37236/8150