Corpus ID: 119120893

Canonical bases arising from quantum symmetric pairs of Kac-Moody type

@article{Bao2018CanonicalBA,
title={Canonical bases arising from quantum symmetric pairs of Kac-Moody type},
author={Huanchen Bao and W. Wang},
journal={arXiv: Quantum Algebra},
year={2018}
}
• Published 2018
• Mathematics
• arXiv: Quantum Algebra
For quantum symmetric pairs $(\mathbf{U}, \textbf{U}^\imath)$ of Kac-Moody type, we construct $\imath$canonical bases for the highest weight integrable $\mathbf{U}$-modules and their tensor products regarded as $\mathbf{U}^\imath$-modules, as well as an $\imath$canonical basis for the modified form of the $\imath$quantum group $\mathbf{U}^\imath$. A key new ingredient is a family of explicit elements called $\imath$divided powers, which are shown to generate the integral form of \$\dot{\bf{U… Expand
14 Citations

References

SHOWING 1-10 OF 30 REFERENCES