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  "body": "\n## Summary\n\nThe Schur polynomial $s_\\lambda(x_1, \\ldots, x_n)$ is a [[symmetric polynomial|0VHSHB9B6J]] attached to an [[integer partition|0JV30XN73Z]] $\\lambda$, see the [[definition|DA03KQ311J]].\nIt is a quotient of two alternating determinants, and it is also a sum over semistandard [[Young tableaux|Q6TH9PH2R7]] of shape $\\lambda$.\nFor partitions $\\lambda$ of $d$ with at most $n$ parts, the $s_\\lambda$ form a basis of the degree-$d$ symmetric polynomials in $n$ variables.\nThey are the characters of the irreducible polynomial representations of $GL_n(\\C)$, and their products are described by the [[Littlewood–Richardson rule|Q490XBH1Q2]].\n\n## Explanations\n\n### L1 human\n\nDraw the [[Young diagram|096AHMB3P4]] of a partition, and fill its boxes with numbers from $1$ to $n$.\nThe numbers must weakly increase along rows and strictly increase down columns.\nEach filling gives a monomial, with $x_i$ raised to the number of times $i$ appears.\nThe sum of these monomials is the Schur polynomial.\nFor one row of two boxes and $n = 2$ the fillings are $11$, $12$ and $22$, so $s_{(2)} = x_1^2 + x_1 x_2 + x_2^2$.\n",
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