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arxiv: 1008.3094 · v2 · pith:S6SAHK54new · submitted 2010-08-18 · 🧮 math.CO

The theory of Schur polynomials revisited

classification 🧮 math.CO
keywords polynomialsschurfunctionsgiveidentityjacobi-trudiknownoperators
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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 2021-10 unverdicted novelty 6.0

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