The skew diagram poset and components of skew characters

Details The skew diagram poset and components of skew characters The skew diagram poset and components of skew characters

2011-03-31

arxiv.org/abs/1104.0008v1

Mathematics

Combinatorics

15 pages, contains the corrected Section 3 of http://arxiv.org/abs/1002.1610 with correct proofs

Scientific paper

We investigate the poset of skew diagrams ordered by adding or forming the union of skew diagrams. We will show that a skew diagram which has at least n convex corners to the upper left and also to the lower right is larger than the skew diagram consisting of n disconnected single boxes. Using this property, we obtain lower bounds for the number of components, constituents and pairs of components which differ by one box in a given skew character.

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