INVESTIGADORES
LAURET Emilio Agustin
artículos
Título:
On the SO(n+3) to SO(n) branching multiplicity space Sur l'espace de multiplicité de branchement de SO(n+3) vers SO(n)
Autor/es:
LAURET, EMILIO A.; ROSSI BERTONE, FIORELA
Revista:
COMPTES RENDUS MATHEMATIQUE
Editorial:
ELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
Referencias:
Año: 2018 vol. 356 p. 1112 - 1124
ISSN:
1631-073X
Resumen:
We study the decomposition as an SO(3)-module of the multiplicity space corresponding to the branching from SO(n+3) to SO(n). Here, SO(n) (resp. SO(3)) is considered embedded in SO(n+3) in the upper left-hand block (resp. lower right-hand block). We show that when the highest weight of the irreducible representation of SO(n) interlaces the highest weight of the irreducible representation of SO(n+3), then the multiplicity space decomposes as a tensor product of ⌊(n+2)/2⌋ reducible representations of SO(3).
