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- W2800661598 abstract "We give a criterion for complete reducibility of tensor product $Votimes Z$ of two irreducible highest weight modules $V$ and $Z$ over a classical or quantum semi-simple group in terms of a contravariant symmetric bilinear form on $Votimes Z$. This form is the product of the canonical contravariant forms on $V$ and $Z$. Then $Votimes Z$ is completely reducible if and only if the form is non-degenerate when restricted to the sum of all highest weight submodules in $Votimes Z$ or equivalently to the span of singular vectors." @default.
- W2800661598 created "2018-05-17" @default.
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- W2800661598 date "2019-04-07" @default.
- W2800661598 modified "2023-09-30" @default.
- W2800661598 title "Contravariant Form on Tensor Product of Highest Weight Modules" @default.
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- W2800661598 doi "https://doi.org/10.3842/sigma.2019.026" @default.
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