255 citations
- Laboratoire de Mathématiques Nicolas OresmeFR15 papers
- Centre National de la Recherche ScientifiqueFR5 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR4 papers
- Czech Academy of Sciences, Institute of MathematicsCZ3 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR3 papers
- Université du littoral côte d'opaleFR3 papers
- Institute of Mathematics and InformaticsBG2 papers
- Institut National des Sciences Appliquées Rouen NormandieFR2 papers
- Laboratoire de Mathématiques de ReimsFR2 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR2 papers
- Université Clermont AuvergneFR2 papers
- Université de Caen NormandieFR2 papers
6 papers · 1 filter
Finite-dimensional Lie subalgebras of the Weyl algebra
M. Rausch de Traubenberg, M. J. Slupinski, A. Tanasa
We classify up to isomorphism all finite-dimensional Lie algebras that can be realised as Lie subalgebras of the complex Weyl algebra . The list we obtain turns out to be disc…
JMMO Fock space and Geck-Rouquier classification of simple modules for Hecke algebras
Nicolas Jacon
This paper is a survey on the representation theory of Hecke algebras, Ariki-Koike algebras and connections with quantum group.
Canonical basic sets for Hecke algebras
Nicolas Jacon
We give an explicit description of the "canonical basic set'' for all Iwahori-Hecke algebras of finite Weyl groups in "good'' characteristic. We obtain a complete classification of…
Berezin Kernels and Analysis on Makarevich Spaces
J. Faraut, M. Pevzner
Following ideas of van Dijk and Hille we study the link which exists between maximal degenerate representations and Berezin kernels. We consider the conformal group …
Modular representations of cyclotomic Hecke algebras of type G(r,p,n)
Gwenaelle Genet, Nicolas Jacon
We give a classification of the simple modules for the cyclotomic Hecke algebras over in the modular case. We use the unitriangular shape of the decomposition matrices…
An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras
Nicolas Jacon
We give a purely combinatorial algorithm for the computation of the decomposition matrices for Ariki-Koike algebras when the parameters are powers of the same root of unity. It gen…