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- W3090228907 abstract "The $imath$Hall algebra of the projective line is by definition the twisted semi-derived Ringel-Hall algebra of the category of $1$-periodic complexes of coherent sheaves on the projective line. This $imath$Hall algebra is shown to realize the universal $q$-Onsager algebra (i.e., $imath$quantum group of split affine $A_1$ type) in its Drinfeld type presentation. The $imath$Hall algebra of the Kronecker quiver was known earlier to realize the same algebra in its Serre type presentation. We then establish a derived equivalence which induces an isomorphism of these two $imath$Hall algebras, explaining the isomorphism of the $q$-Onsager algebra under the two presentations." @default.
- W3090228907 created "2020-10-08" @default.
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- W3090228907 date "2020-10-01" @default.
- W3090228907 modified "2023-10-18" @default.
- W3090228907 title "$imath$Hall algebra of the projective line and $q$-Onsager algebra" @default.
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- W3090228907 doi "https://doi.org/10.48550/arxiv.2010.00646" @default.
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