Canonical bases of loop algebras via quot schemes II

Details Canonical bases of loop algebras via quot schemes II Canonical bases of loop algebras via quot schemes II

2004-08-29

arxiv.org/abs/math/0408401v1

Mathematics

Quantum Algebra

65 pages Latex

Scientific paper

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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