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8 votes
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Alternate proof in Fulton–Harris of representation theoretic version of Littlewood–Richardson rule

$\DeclareMathOperator\Ind{Ind}$Let $d = d_1 + d_2$ with $d_1$, $d_2$ positive integers. Let $\lambda$ be a partition of $d_1$ and $\mu$ a partition of $d_2$, so that the Young symmetrizer construction ...
2 votes
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Chapter 2 Section 2 in Macdonald's Symmetric Functions and Hall Polynomials

Throughout this post $R$ denotes a discrete valuation ring with residue field $R/\frak{m}$ being finite. I'm reading Macdonald's exposition on the Hall Algebra on page 183 and trying to make sense of ...