5 citations · 16 across the 6 of their papers we have counts for
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Canonical bases of loop algebras via quot schemes II
Olivier Schiffmann
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 perve…
Canonical bases of loop algebras via Quot schemes, I
Olivier Schiffmann
We propose a construction of some canonical bases for quantum loop algebras of Kac-Moody algebras. We consider a smooth projective curve X, a group of automorphism G of X such that…
Homological realization of Nakajima varieties and Weyl group actions
Igor Frenkel, Mikhail Khovanov, Olivier Schiffmann
We describe points on Nakajima varieties and Weyl group actions on them via complexes of semisimple and projective modules over certain finite-dimensional algebras.
Canonical bases for quantum generalized Kac-Moody algebra
Seok-Jin Kang, Olivier Schiffmann
We construct a canonical basis for quantum generalized Kac-Moody algebra via semisimple perverse sheaves on varieties of representations of quivers. We compare this basis with the…
Traces of intertwiners for quantum groups and difference equations, II
Pavel Etingof, Olivier Schiffmann, Alexander Varchenko
In this paper we study twisted traces of products of intertwining operators for quantum affine algebras. They are interesting special functions, depending on two weights lambda, mu…
Noncommutative projective curves and quantum loop algebras
Olivier Schiffmann
We generalize a theorem of Kapranov by showing that the Hall algebra of the category of coherent sheaves on a weighted projective line (over a finite field) provides a realization…