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}
}
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

SHOWING 1-10 OF 19 REFERENCES
Positivity of Canonical Bases under Comultiplication
Geometric Schur duality of classical type, II
Finite Dimensional Algebras and Quantum Groups
Introduction to Quantum Groups
Canonical bases and higher representation theory
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