Séminaire Lotharingien de Combinatoire, B36h (1996), 5pp.

Brian G. Wybourne

Plethysms and the Non-Compact Groups Sp(2n,R)

Abstract. Some preliminary results on the plethysms for the non-compact group Sp(2n,R) are presented. Complete results are given for power 2 plethysms of the two fundamental irreducible representations of Sp(2n,R). Several new S-function identities arise from this work. The stabilisation properties of the plethysms are briefly considered and some remarkable conjugacy mappings observed.

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