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 partitions, and an extension of the Hermite reciprocity law follows.

• Type: Journal
• Year: 2007
• Where: EJC
• Authors: Laurent Manivel
• Keywords: Cayley-Sylvester Formula, EJC 2007, Information Technology, Ordinary Partitions, Symmetric Powers