Zobrazeno 1 - 10
of 45
pro vyhledávání: '"Olivier Schiffmann"'
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
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⟩
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
https://doi.org/10.1038/nnano.2017.28
Autor:
Olivier Schiffmann, Francesco Sala
Publikováno v:
Selecta Mathematica (New Series)
Selecta Mathematica (New Series), Springer Verlag, 2019, 25 (5), ⟨10.1007/s00029-019-0521-8⟩
Selecta Mathematica (New Series), Springer Verlag, 2019, 25 (5), ⟨10.1007/s00029-019-0521-8⟩
In the present paper, we give a definition of the quantum group $$\mathbf {U}_\upsilon (\mathfrak {sl}(S^1))$$ of the circle $$S^1:={\mathbb {R}}/{\mathbb {Z}}$$, and its fundamental representation. Such a definition is motivated by a realization of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::143670d420e2b896ed4c4689d4225f78
https://hal.archives-ouvertes.fr/hal-03100062
https://hal.archives-ouvertes.fr/hal-03100062
Publikováno v:
International Mathematics Research Notices
International Mathematics Research Notices, Oxford University Press (OUP), 2019, 2019 (13), pp.3981-4003. ⟨10.1093/imrn/rnx244⟩
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
https://hal.archives-ouvertes.fr/hal-03100059
Autor:
Francesco Sala, Olivier Schiffmann
In [arXiv:1711.07391] we have defined quantum groups $\mathbf{U}_\upsilon(\mathfrak{sl}(\mathbb{R}))$ and $\mathbf{U}_\upsilon(\mathfrak{sl}(S^1))$, which can be interpreted as continuous generalizations of the quantum groups of the Kac-Moody Lie alg
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5506350a7587844a024fd43f91faf17a
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
http://arxiv.org/abs/1802.09760
Autor:
Tristan Bozec, Olivier Schiffmann
Publikováno v:
Mathematische Zeitschrift
Mathematische Zeitschrift, Springer, In press, ⟨10.1007/s00209-018-2155-5⟩
Mathematische Zeitschrift, Springer, In press, ⟨10.1007/s00209-018-2155-5⟩
For an arbitrary quiver Q and dimension vector d we prove that the dimension of the space of cuspidal functions on the moduli stack of representations of Q of dimension d over a finite field F_q is given by a polynomial in q with rational coefficient
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::04cff045e9dcf78368db8f818191cea7
https://hal.archives-ouvertes.fr/hal-01709066/file/1710.03036.pdf
https://hal.archives-ouvertes.fr/hal-01709066/file/1710.03036.pdf
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 algebras, but they feature a continuum root system with no simple roots
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f26951c0c69e3c2b3a91fa72fe316d80
Autor:
Olivier Schiffmann, Eric Vasserot
Publikováno v:
Journal für die reine und angewandte Mathematik
Journal für die reine und angewandte Mathematik, Walter de Gruyter, 2020, 2020 (760), pp.59-132. ⟨10.1515/crelle-2018-0004⟩
Journal für die reine und angewandte Mathematik, Walter de Gruyter, 2020, 2020 (760), pp.59-132. ⟨10.1515/crelle-2018-0004⟩
We study the cohomological Hall algebra Y of a lagrangian substack of the moduli stack of representations of the preprojective algebra of an arbitrary quiver Q, and their actions on the cohomology of Nakajima quiver varieties. We prove that Y is pure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::09ffc616aac89cf2a080a7ccc55f03ab
Autor:
Olivier Schiffmann, Igor Burban
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2013:75-124
In this article, we deal with properties of the reduced Drinfeld double of the composition subalgebra of the Hall algebra of the category of coherent sheaves on a weighted projective line. This study is motivated by applications in the theory of quan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eef00b9a25597601783a8eb79deb0736
https://doi.org/10.1515/crelle.2012.023
https://doi.org/10.1515/crelle.2012.023