Canonical bases of loop algebras via quot schemes II
Quantum Algebra
2007-05-23 v1 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.math/0408401,
title = {Canonical bases of loop algebras via quot schemes II},
author = {Olivier Schiffmann},
journal= {arXiv preprint arXiv:math/0408401},
year = {2007}
}
Comments
65 pages Latex