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Canonical bases of loop algebras via quot schemes II

Olivier Schiffmann
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Abstract

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.

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Olivier Schiffmann. 2004-08-29. Canonical bases of loop algebras via quot schemes II. https://arxiv.org/abs/math/0408401

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