# Positivity vs negativity of canonical bases

```@article{Li2015PositivityVN,
title={Positivity vs negativity of canonical bases},
author={Yiqiang Li and Weiqiang Wang},
journal={arXiv: Representation Theory},
year={2015}
}```
• Published 2015
• Mathematics
• arXiv: Representation Theory
We provide examples for negativity of structure constants of the stably canonical basis of modified quantum \$\mathfrak{gl}_n\$ and an analogous basis of modified quantum coideal algebra of \$\mathfrak{gl}_n\$. In contrast, we construct the canonical basis of the modified quantum coideal algebra of \$\mathfrak{sl}_n\$, establish the positivity of its structure constants, the positivity with respect to a geometric bilinear form as well as the positivity of its action on the tensor powers of the… Expand

#### References

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