Addendum to Olivier Schiffmann, 'Drinfeld realization of the elliptic Hall algebra'

Autor: Fratila, Dragos

In \cite{S} O. Schiffmann gave a presentation of the Drinfel'd double of the elliptic Hall algebra which is similar in spirit to Drinfel'd's new realization of quantum affine algebras. Using this result together with a part of his proof we can provid

Externí odkaz: http://arxiv.org/abs/1109.5991

Quantum affine algebras at roots of unity and equivariant K-theory

Autor: Olivier, Schiffmann

In this short note, we show that the Ginzburg-Vasserot map between the quantum affine algebra of type A_(n-1) and the equivariant K-theory group of the Steinberg Variety (of n-step flags in C^d) restricts and remains surjective at the level of the in

Externí odkaz: http://arxiv.org/abs/math/9808038

Dual-light control of nanomachines that integrate motor and modulator subunits

Autor: Damien Dattler, Justin T. Foy, Jean-Rémy Colard-Itté, Quan Li, Emilie Moulin, Olivier Schiffmann, Nicolas Giuseppone, Daniel P. Funeriu, Gad Fuks, Antoine Goujon

Publikováno v: Nature Nanotechnology
Nature Nanotechnology, 2017, 12 (6), pp.540-545. ⟨10.1038/nnano.2017.28⟩

A current challenge in the field of artificial molecular machines is the synthesis and implementation of systems that can produce useful work when fuelled with a constant source of external energy. The first experimental achievements of this kind con

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f451cd5faef5ef31e38f0fd433ad42ea
https://doi.org/10.1038/nnano.2017.28

Kac Polynomials for Canonical Algebras

Autor: Pierre-Guy Plamondon, Olivier Schiffmann

Publikováno v: International Mathematics Research Notices
International Mathematics Research Notices, Oxford University Press (OUP), 2019, 2019 (13), pp.3981-4003. ⟨10.1093/imrn/rnx244⟩

We prove that the number of geometrically indecomposable representations of fixed dimension vector $\mathbf{d}$ of a canonical algebra $C$ defined over a finite field $\mathbb{F}_q$ is given by a polynomial in $q$ (depending on $C$ and $\mathbf{d}$).

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dba16945c42aa9f5e2bac35a78144836
https://hal.archives-ouvertes.fr/hal-03100059

Kac polynomials and Lie algebras associated to quivers and curves

Autor: 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, and the geometric meaning of Kac polynomials in relation to the geomet

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::db403b2efce98485cc14e6ffbb924b1a
http://arxiv.org/abs/1802.09760