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The theory of Schur polynomials revisited

· 2010 · math.CO · arXiv 1008.3094

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abstract

We use Young's raising operators to give short and uniform proofs of several well known results about Schur polynomials and symmetric functions, starting from the Jacobi-Trudi identity.

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math.CO 1

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2021 1

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The pre-Pieri rules

math.CO · 2021-10-06 · unverdicted · novelty 6.0

Proves two determinant summation identities for t_α and uses them to obtain variants of the Pieri rule.

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  • The pre-Pieri rules math.CO · 2021-10-06 · unverdicted · none · ref 10 · internal anchor

    Proves two determinant summation identities for t_α and uses them to obtain variants of the Pieri rule.