SYMMETRIZED SQUARES AND CUBES OF THE FUNDAMENTAL UNIRREPS OF SP(2N,R)

Authors
THIBON JY TOUMAZET F WYBOURNE BG
Citation
Jy. Thibon et al., SYMMETRIZED SQUARES AND CUBES OF THE FUNDAMENTAL UNIRREPS OF SP(2N,R), Journal of physics. A, mathematical and general, 31(3), 1998, pp. 1073-1086
Citations number
13
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
3
Year of publication
1998
Pages
1073 - 1086
Database
ISI
SICI code
0305-4470(1998)31:3<1073:SSACOT>2.0.ZU;2-7
Abstract
We establish the complete decompositions of the symmetrized Kronecker squares of the basic harmonic representations of Sp(2n,R) conjectured by Grudzinski and Wybourne (Grudzinski K and Wybourne B G 1996 J. Phys . A: Math. Gen. 29 6631-41) and give analogous complete results for th e symmetrized cubes. Equivalence relationships are shown to exist betw een certain pairs of plethysms.