Stability of Kronecker Products of Irreducible Characters of the Symmetric Group
نویسندگان
چکیده
منابع مشابه
Stability of Kronecker Products of Irreducible Characters of the Symmetric Group
F. Murnaghan observed a long time ago that the computation of the decompositon of the Kronecker product χ(n−a,λ2,... ) ⊗ χ(n−b,μ2,... ) of two irreducible characters of the symmetric group into irreducibles depends only on λ = (λ2, . . . ) and μ = (μ2, . . . ), but not on n. In this note we prove a similar result: given three partitions λ, μ, ν of n we obtain a lower bound on n, depending on λ,...
متن کاملIrreducible Symmetric Group Characters of Rectangular Shape
where χ(1) denotes the dimension of the character χ and (n)k = n(n − 1) · · · (n − k + 1). Thus [8, (7.6)(ii)][12, p. 349] χ(1) is the number f of standard Young tableaux of shape λ. Identify λ with its diagram {(i, j) : 1 ≤ j ≤ λi}, and regard the points (i, j) ∈ λ as squares (forming the Young diagram of λ). We write diagrams in “English notation,” with the first coordinate increasing from to...
متن کاملon translation of phatic communion and socio-cultural relationships between the characters of the novels
phatic communion is a cultural concept which differs across cultures. according to hofstede (2001), the u.s. tends to have individualistic culture; however, asian countries tend to have collectivistic cultures. these cultures view phatic communion differently. in individualistic cultures like u.s., phatic communion reflects speakers’ socio-cultural relationships in conversations. to see whether...
15 صفحه اولMurnagfl4n’s Rule and the Irreducible Characters of the Symmetric Group
Title ofprogram: char Method ofsolution Murnaghan’s rule for the calculation of the irreducible charCatalogue number: AAMK acters of the symmetric group is implemented in a compact program. Program obtainable from: CPC Program Library, Queen’s University of Belfast, N. Ireland (see application form in this issue) Restrictions on the complexity of the problem Limited only by available user memor...
متن کاملOn the irreducible characters of Camina triples
The Camina triple condition is a generalization of the Camina condition in the theory of finite groups. The irreducible characters of Camina triples have been verified in the some special cases. In this paper, we consider a Camina triple (G,M,N) and determine the irreducible characters of G in terms of the irreducible characters of M and G/N.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 1999
ISSN: 1077-8926
DOI: 10.37236/1471