Abstract
Let V be the representation of the quantized enveloping algebra of \(\mathfrak{gl}(n)\) which is the q-analogue of the vector representation and let V ∗ be the dual representation. We construct a basis for \(\bigotimes^{r}(V \oplus V^{*})\) with favorable properties similar to those of Lusztig’s dual canonical basis. In particular our basis is invariant under the bar involution and contains a basis for the subspace of invariant tensors.
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Westbury, B.W. Web bases for the general linear groups. J Algebr Comb 35, 93–107 (2012). https://doi.org/10.1007/s10801-011-0294-4
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DOI: https://doi.org/10.1007/s10801-011-0294-4