The Hall algebra of the category of coherent sheaves on the projective line

DOI10.1515/crll.2001.031zbMath0967.18005arXivmath/9906037OpenAlexW2055947177MaRDI QIDQ2710299

Christian Kassel, Pierre Baumann

Publication date: 24 April 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9906037

zbMATH Keywords

Kac-Moody algebrasautomorphic formsquantum affine algebrasHall algebrarepresentations of quiversenveloping algebrascoherent sheavesprojective lineKronecker quiver

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Representations of quivers and partially ordered sets (16G20) Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) (18F20)

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Noncommutative projective curves and quantum loop algebras, Hall numbers and the composition algebra of the Kronecker algebra., Kac's theorem for weighted projective lines, On the Hall algebra of coherent sheaves on \(\mathbb P^1\) over \(\mathbb F^1\), 𝚤Hall algebras of weighted projective lines and quantum symmetric pairs, Hall Lie algebras of toric monoid schemes, On the Hall algebra of an elliptic curve. I., Hall algebras and graphs of Hecke operators for elliptic curves, Representations of tame quivers and affine canonical bases, On some Ringel-Hall numbers in tame cases., Representations of quantum affine superalgebras, Drinfeld realization of the elliptic Hall algebra, Hall polynomials for affine quivers, Double Hall algebras and derived equivalences., The Hall algebra approach to Drinfeld's presentation of quantum loop algebras, Quivers and Representations, A Drinfeld type presentation of affine \(\imath\) quantum groups. I: Split ADE type, Exceptional sequences and Drinfeld double Hall algebras, The derived category of the projective line, Elliptic Lie algebras and tubular algebras., The Kronecker quiver and bases of quantum affine \(\mathfrak{sl}_2\), 𝚤Hall algebra of the projective line and 𝑞-Onsager algebra

Cites Work

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