Products and Plethysms of Characters with Orthogonal, Symplectic and Symmetric Groups
1958; Cambridge University Press; Volume: 10; Linguagem: Inglês
10.4153/cjm-1958-002-7
ISSN1496-4279
Autores Tópico(s)graph theory and CDMA systems
ResumoMurnaghan (9) has proposed the following method of analyzing the Kronecker product of two symmetric group representations. If (λ) = (λ 1 , λ 2 , … , λ i ) is a partition of p , the representation of the symmetric group on n symbols corresponding to the partition ( n — p , λ 1 , … , λ i ) is denoted by [λ] and is said to be of depth p . If [λ] is of depth p and [μ] of depth q , then the terms in the Kronecker product [λ] X [ μ ] of depth p + q are terms which correspond to the terms in the product of S-functions {λ} {μ}).
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