1958/01/01 by D. E. Littlewood · 1 citation
Engineering · Mathematics · #graph theory and CDMA systems #Mathematics #Kronecker product #Symmetric group #Partition (number theory) #Symplectic geometry #Representation theory of the symmetric group #Product (mathematics) #Representation theory #Combinatorics #Orthogonal group #Symplectic group #Pure mathematics #Symmetric function #Kronecker delta #Geometry
paper · pdf · doi:10.4153/cjm-1958-002-7
openalex publication_date 1958/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
Murnaghan (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).