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Pré-Publication, Document De Travail Année : 2004

Canonical bases of loop algebras via quot schemes II

Résumé

This paper is a sequel (and contains a better treatment) of math.QA/0404032; We construct some canonical bases for quantum toroidal algebras of types D_4, E_6, E_7, E_8 using perverse sheaves on quot schemes parametrizing equivariant coherent sheaves on elliptic curves. We also study some compatibility properties of these bases with some natural filtrations and modules.

Dates et versions

hal-00113598 , version 1 (13-11-2006)

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Olivier Schiffmann. Canonical bases of loop algebras via quot schemes II. 2004. ⟨hal-00113598⟩
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