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- W2950388944 abstract "We generalize a theorem of Kapranov by showing that the Hall algebra of the category of coherent sheaves on a weighted projective line (over a finite field) provides a realization of the (quantized) enveloping algebra of a certain nilpotent subalgebra of the affinization of the correponding Kac-Moody algebra. In particular this yieds a geometric realization of the quantized enveloping algebra of 2-toroidal (or elliptic) algebras of types D_4, E_6, E_7 or E_8 in terms of weighted projective lines of genus one." @default.
- W2950388944 created "2019-06-27" @default.
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- W2950388944 date "2002-05-25" @default.
- W2950388944 modified "2023-09-27" @default.
- W2950388944 title "Noncommutative projective curves and quantum loop algebras" @default.
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