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• W1869028109 abstract "We apply lattice point counting methods to compute the multiplicities in the plethysm of $$textit{GL}(n)$$ . Our approach gives insight into the asymptotic growth of the plethysm and makes the problem amenable to computer algebra. We prove an old conjecture of Howe on the leading term of plethysm. For any partition $$mu $$ of 3, 4, or 5, we obtain an explicit formula in $$lambda $$ and k for the multiplicity of $$S^lambda $$ in $$S^mu (S^k)$$ ." @default.
• W1869028109 created "2016-06-24" @default.
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• W1869028109 date "2015-08-07" @default.
• W1869028109 modified "2023-09-25" @default.
• W1869028109 title "Plethysm and Lattice Point Counting" @default.
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• W1869028109 doi "https://doi.org/10.1007/s10208-015-9275-7" @default.
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