129 citations · 570 across the 48 of their papers we have counts for
15 papers · 1 filter
The Langlands formula and perverse sheaves
Mikhail Kapranov, Vadim Schechtman, Olivier Schiffmann +1
For a complex reductive Lie algebra with Cartan subalgebra and Weyl group we consider the category of per…
Cohomological Hall algebras of quivers and Yangians
Olivier Schiffmann, Eric Vasserot
We construct an isomorphism between the preprojective cohomological Hall algebra of an arbitrary quiver and a positive half of the corresponding Maulik-Okounkov Yangian, which inte…
Shuffle algebras for quivers as quantum groups
Andrei Neguţ, Francesco Sala, Olivier Schiffmann
We define a quantum loop group associated to an arbitrary quiver and maximal set of deformation parameters, with generators indexed by $I \times \mathbb{…
Continuum Kac-Moody algebras
Andrea Appel, Francesco Sala, Olivier Schiffmann
We introduce a new class of infinite-dimensional Lie algebras, which we refer to as continuum Kac-Moody algebras. Their construction is closely related to that of usual Kac-Moody a…
Kac polynomials and Lie algebras associated to quivers and curves
Olivier Schiffmann
A survey of the theory of Kac polynomials for quivers and for curves. In particular, we describe the representation-theoretic meaning of Kac polynomials in terms of Hall algebras,…
The circle quantum group and the infinite root stack of a curve (with an appendix by Tatsuki Kuwagaki)
Francesco Sala, Olivier Schiffmann
In the present paper, we give a definition of the quantum group of the circle , and its fundamental repr…