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DM
2011
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13 years 6 months ago
Singletons and adjacencies of set partitions of type B
We show that the joint distribution of the number of singleton pairs and the number of adjacency pairs is symmetric over the set partitions of type Bn without zero-block, in analo...
William Y. C. Chen, David G. L. Wang
EJC
2007
13 years 11 months ago
An extension of the Cayley-Sylvester formula
Abstract. We extend the Cayley-Sylvester formula for symmetric powers of SL2(C)modules, to plethysms defined by rectangle partitions. Ordinary partitions are replaced by plane par...
Laurent Manivel