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Hyperbolic subalgebras of hyperbolic Kac-Moody algebras
Hyperbolic subalgebras hyperbolic Kac-Moody algebras
2011/1/18
We investigate regular hyperbolic subalgebras of hy-perbolic Kac-Moody algebras via their Weyl groups. We classify all subgroups relations between Weyl groups of hyperbolic Kac-Moody algebras, and sho...
Hall algebras of curves, commuting varieties and Langlands duality
Hall algebras of curves commuting varieties Langlands duality
2010/11/29
We construct an isomorphism between the (universal) spherical Hall algebra of a smooth projective curve of genus g and a convolution algebra in the (equivariant) K-theory of the genus g commuting vari...