Laboratoire de Mathématiques Nicolas Oresme

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20012025

most citedKac-Moody groups and cluster algebras

177 citations

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math.OA2015

$L_{p}$ -Multipliers on Quantum Tori

Éric Ricard

It was shown by Chen, Xu and Yin that completely bounded Fourier multipliers on noncommutative $L_{p}$ -spaces of quantum tori $T_{θ}^{d}$ do not depend on the parameter $θ$ . We e…

math.GT2015★ 12 cited

The inclusion of configuration spaces of surfaces in Cartesian products, its induced homomorphism, and the virtual cohomological dimension of the braid groups of S^2 and RP^2

Daciberg Lima Gonçalves, John Guaschi

Let M be a surface, perhaps with boundary, and either compact, or with a finite number of points removed from the interior of the surface. We consider the inclusion i: F\_n(M) --\t…

math.AG2015★ 2 cited

Logarithmic $p$ -bases and arithmetical differential modules

Daniel Caro, David Vauclair

We introduce the notion of log $p$ -smoothness which weakens that of log-smoothness and that of having locally $p$ -bases. We extend Berthelot's construction of arithmetic $D$ -module…

math.RT2015★ 14 cited

Quivers with relations for symmetrizable Cartan matrices III: Convolution algebras

Christof Geiss, Bernard Leclerc, Jan Schröer

We realize the enveloping algebra of the positive part of a semisimple complex Lie algebra as a convolution algebra of constructible functions on module varieties of some Iwanaga-G…

math.RT2015★ 12 cited

Quivers with relations for symmetrizable Cartan matrices II: Change of symmetrizers

Christof Geiss, Bernard Leclerc, Jan Schröer

For $k \geq 1$ we consider the $K$ -algebra $H (k) := H (C, k D, Ω)$ associated to a symmetrizable Cartan matrix $C$ , a symmetrizer $D$ , and an orientation $Ω$ of $C$ , which was defined i…

math.RT2015★ 5 cited

Modular generalized Springer correspondence: an overview

Pramod N. Achar, Anthony Henderson, Daniel Juteau +1

This is an overview of our series of papers on the modular generalized Springer correspondence. It is an expansion of a lecture given by the second author in the Fifth Conference o…

Lp​-Multipliers on Quantum Tori