• Corpus ID: 238407783

$\imath$Hall algebras of weighted projective lines and quantum symmetric pairs

@inproceedings{Lu2021imathHallAO,
  title={\$\imath\$Hall algebras of weighted projective lines and quantum symmetric pairs},
  author={Ming Lu and Shiquan Ruan},
  year={2021}
}
The $\imath$Hall algebra of a weighted projective line is defined to be the semi-derived Ringel-Hall algebra of the category of $1$-periodic complexes of coherent sheaves on the weighted projective line over a finite field. We show that this Hall algebra provides a realization of the $\imath$quantum loop algebra, which is a generalization of the $\imath$quantum group arising from the quantum symmetric pair of split affine type ADE in its Drinfeld type presentation. The $\imath$Hall algebra of…