Concept
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Publications associées (20)
Lie groups as permutation groups: Ulam's problem in the nilpotent case
Ulam asked whether every connected Lie group can be represented on a countable structure. This is known in the linear case. We establish it for the first family of non-linear groups, namely in the nilpotent case. Further context is discussed to illustrate ...
WALTER DE GRUYTER GMBH2022Subgroups of elliptic elements of the Cremona group
The Cremona group is the group of birational transformations of the complex projective plane. In this paper we classify its subgroups that consist only of elliptic elements using elementary model theory. This yields in particular a description of the struc ...
2021A cell fitness selection model for neuronal survival during development
Developmental cell death plays an important role in the construction of functional neural circuits. In vertebrates, the canonical view proposes a selection of the surviving neurons through stochastic competition for target-derived neurotrophic signals, imp ...
2019Revisiting the nilpotent polynomial Hales–Jewett theorem
Answering a question posed by Bergelson and Leibman in [6], we establish a nilpotent version of the Polynomial Hales–Jewett Theorem that contains the main theorem in [6] as a special case. Important to the formulation and the proof of our main theorem is t ...
2017Central Subalgebras Of The Centralizer Of A Nilpotent Element
Let G be a connected, semisimple algebraic group over a field k whose characteristic is very good for G. In a canonical manner, one associates to a nilpotent element X is an element of Lie(G) a parabolic subgroup P - in characteristic zero, P may be descri ...
Amer Mathematical Soc2016Equivalences between blocks of p-local Mackey algebras
Baptiste Thierry Pierre Rognerud
Let G be a finite group and (K, O, k) be a p-modular system. Let R = O or k. There is a bijection between the blocks of the group algebra and the blocks of the so-called p-local Mackey algebra mu(1)(R)(G). Let b be a block of RG with abelian defect group D ...
Elsevier2015Diophantine properties of nilpotent Lie groups
A finitely generated subgroup F of a real Lie group G is said to be Diophantine if there is beta > 0 such that non-trivial elements in the word ball B-Gamma(n) centered at 1 is an element of F never approach the identity of G closer than broken vertical ba ...
London Mathematical Society, Cambridge2015The xi-stability on the affine grassmannian
We introduce a notion of xi-stability on the affine grassmannian (SIC) for the classical groups, this is the local version of the xi-stability on the moduli space of Higgs bundles on a curve introduced by Chaudouard and Laumon. We prove that the quotient ( ...
Springer Heidelberg2015Cellular properties of nilpotent spaces
We show that cellular approximations of nilpotent Postnikov stages are always nilpotent Postnikov stages, in particular classifying spaces of nilpotent groups are turned into classifying spaces of nilpotent groups. We use a modified Bousfield-Kan homology ...
Geometry & Topology Publications2015Phosphorylation of Diaminopyridines: Synthesis of a Compound Containing Both a Diphosphinoamine ( P-N-P) and an Iminobiphosphine ( N=P-P) Fragment
Paul Joseph Dyson, Rosario Scopelliti, Zhaofu Fei, Wee Han Ang, Emilia Paunescu
The phosphorylation of a series of diaminopyridines (2,3-, 3,4-, 2,5- and 2,6-diaminopyridine), with various molecular equivalents of chlorodiphenylphosphine in the presence of TEA has been studied. Notably, phosphorylation of 2,3- and 3,4-diaminopyridine ...
Wiley-V C H Verlag Gmbh2014