Multiplicity-free Kronecker products of characters of the symmetric groups
نویسندگان
چکیده
منابع مشابه
On Kronecker Products of Spin Characters of the Double Covers of the Symmetric Groups
In recent years, a number of results on Kronecker products of complex Sncharacters have been obtained. In particular, the rectangular hull for the constituents in such products was found, and this was used for the classification of products with few homogeneous components; see [1] for this classification result and references to related work. Here, we provide similar results for products of spi...
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Confirming a conjecture made by Bessenrodt and Kleshchev in 1999, we classify all Kronecker products of characters of the symmetric groups with only three or four components. On the way towards this result, we obtain new information about constituents in Kronecker products.
متن کاملOn (almost) Extreme Components in Kronecker Products of Characters of the Symmetric Groups
Using a recursion formula due to Dvir, we obtain information on maximal and almost maximal components in Kronecker products of characters of the symmetric groups. This is applied to confirm a conjecture made by Bessenrodt and Kleshchev in 1999, which classifies all such Kronecker products with only three or four components.
متن کاملMultiplicity-free Products and Restrictions of Weyl Characters
We classify all multiplicity-free products of Weyl characters, or equivalently, all multiplicity-free tensor products of irreducible representations of complex semisimple Lie algebras. As a corollary, we also obtain the classification of all multiplicity-free restrictions of irreducible representations to reductive subalgebras of parabolic type.
متن کاملStability 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,...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2017
ISSN: 0001-8708
DOI: 10.1016/j.aim.2017.10.009