A Littlewood-Richardson Rule for factorial Schur functions
نویسندگان
چکیده
We give a combinatorial rule for calculating the coe cients in the expansion of a product of two factorial Schur functions. It is a special case of a more general rule which also gives the coe cients in the expansion of a skew factorial Schur function. Applications to Capelli operators and quantum immanants are also given.
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.
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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.
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