Trace cocharacters and the Kronecker products of Schur functions
نویسندگان
چکیده
منابع مشابه
Products of Schur and Factorial Schur Functions
The product of any finite number of Schur and factorial Schur functions can be expanded as a Z[y]-linear combination of Schur functions. We give a rule for computing the coefficients in such an expansion which generalizes the classical Littlewood-Richardson rule.
متن کاملThe stability of the Kronecker product of Schur functions
In the late 1930’s Murnaghan discovered the existence of a stabilization phenomenon for the Kronecker product of Schur functions. For n large enough, the values of the Kronecker coefficients appearing in the product of two Schur functions of degree n do not depend on the first part of the indexing partitions, but only on the values of their remaining parts. We compute the exact value of n when ...
متن کاملProducts of Factorial Schur Functions
The product of any finite number of factorial Schur functions can be expanded as a Z[y]-linear combination of Schur functions. We give a rule for computing the coefficients in such an expansion which generalizes a specialization of the Molev-Sagan rule, which in turn generalizes the classical Littlewood-Richardson rule.
متن کاملLecture 6 : Kronecker Product of Schur Functions – Part I
The irreducible representations of Sn, i.e. the Specht modules are indexed by partitions λ of n. For any two partitions λ, μ of n, Sλ ⊗ Sμ = gλμνSν , for suitable integers gλμν . The actual values of these coefficients still eludes us. We look at a formula (admittedly messy), which gives the exact values of gλμν for simple shapes λ, μ.
متن کاملComputation of Outer Products of Schur Functions
Title ofprogram: Schur Method of solution A new backtracking algorithm [1] is implemented to generate Catalogue number: AAMJ the partitions that appear in the expansion of a product of Schur functions. 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 The size of the problem ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2003
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(03)00013-9