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Schur Polynomials and \(\mathrm{GL}(n, \mathbb{C})\)

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Lie Groups

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 225))

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Abstract

Now let \(s_{\mu }(x_{1},\ldots,x_{n})\) be the symmetric polynomial \({\mathrm{ch}}^{(n)}(\mathbf{s}_{\mu })\); we will use the same notation s μ for the element \(\mathrm{ch}(\mathbf{s}_{\mu })\) of the inverse limit ring Λ defined by (34.10). These are the Schur polynomials.

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Bump, D. (2013). Schur Polynomials and \(\mathrm{GL}(n, \mathbb{C})\) . In: Lie Groups. Graduate Texts in Mathematics, vol 225. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-8024-2_36

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