Plethysms and the Non-Compact Groups Sp(2n,R)
Séminaire lotharingien de combinatoire, Tome 36 (1996)
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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.
@article{SLC_1996_36_a6,
author = {Brian G. Wybourne},
title = {Plethysms and the {Non-Compact} {Groups} {Sp(2n,R)}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {36},
year = {1996},
url = {http://geodesic.mathdoc.fr/item/SLC_1996_36_a6/}
}
Brian G. Wybourne. Plethysms and the Non-Compact Groups Sp(2n,R). Séminaire lotharingien de combinatoire, Tome 36 (1996). http://geodesic.mathdoc.fr/item/SLC_1996_36_a6/