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- W2962779143 abstract "Let k be an algebraically closed field of arbitrary characteristic. First we give explicit bases for the highest weight vectors for the action of GLr ×GLs on the coordinate ring $k[text {Mat}_{rs}^{m}]$ of m-tuples of r × s-matrices. It turns out that this is done most conveniently by giving an explicit good GLr ×GLs-filtration on $k[text {Mat}_{rs}^{m}]$. Then we deduce from this result explicit spanning sets of the $k[text {Mat}_{n}]^{text {GL}_{n}}$-modules of highest weight vectors in the coordinate ring k[Matn] under the conjugation action of GLn." @default.
- W2962779143 created "2019-07-30" @default.
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- W2962779143 date "2018-08-06" @default.
- W2962779143 modified "2023-09-23" @default.
- W2962779143 title "Bases for Spaces of Highest Weight Vectors in Arbitrary Characteristic" @default.
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- W2962779143 doi "https://doi.org/10.1007/s10468-018-9815-3" @default.
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