Zobrazeno 1 - 10
of 1 308
pro vyhledávání: '"A, Chapelier"'
Autor:
Fohn, C., Wander, D., Nikolic, D., Garaudée, S., Courtois, H., Belzig, W., Chapelier, C., Renard, V., Winkelmann, C. B.
We investigate superconducting gallium in its $\alpha$ phase using scanning tunneling microscopy and spectroscopy at temperatures down to about 100 mK. High-resolution tunneling spectroscopies using both superconducting and normal tips show that supe
Externí odkaz:
http://arxiv.org/abs/2409.05758
The aim of this paper is to give a new explicit construction of Lusztig's asymptotic algebra in affine type $\mathsf{A}$. To do so, we construct a balanced system of cell modules, prove an asymptotic version of the Plancherel Theorem and develop a re
Externí odkaz:
http://arxiv.org/abs/2406.07004
We study generalised core partitions arising from affine Grassmannian elements in arbitrary Dynkin type. The corresponding notion of size is given by the atomic length in the sense of [CLG22]. In this paper, we first develop the theory for extended a
Externí odkaz:
http://arxiv.org/abs/2403.11191
Autor:
Chapelier-Laget, Nathan, Gobet, Thomas
We study the restriction of the strong Bruhat order on an arbitrary Coxeter group $W$ to cosets $x W_L^\theta$, where $x$ is an element of $W$ and $W_L^\theta$ the subgroup of fixed points of an automorphism $\theta$ of order at most two of a standar
Externí odkaz:
http://arxiv.org/abs/2311.06827
Autor:
Chapelier-Laget, Nathan
This note is a complement of a recent paper about low elements in affine Coxeter groups. We explain in terms of ad-nilpotent ideals of a Borel subalgebra why the minimal elements of dominant Shi regions are low. We also give a survey of the bijection
Externí odkaz:
http://arxiv.org/abs/2309.13261
Autor:
Mesple, F., Walet, N. R., de Laissardière, G. Trambly, Guinea, F., Dosenovic, D., Okuno, H., Paillet, C., Michon, A., Chapelier, C., Renard, V. T.
The study of moir\'e engineering started with the advent of van der Waals heterostructures in which stacking two-dimensional layers with different lattice constants leads to a moir\'e pattern controlling their electronic properties. The field entered
Externí odkaz:
http://arxiv.org/abs/2308.13230
We define a new statistic on Weyl groups called the atomic length and investigate its combinatorial and representation-theoretic properties. In finite types, we show a number of properties of the atomic length which are reminiscent of the properties
Externí odkaz:
http://arxiv.org/abs/2211.12359
Autor:
Jalabert, T., Driessen, E. F . C., Gustavo, F., Thomassin, J. L., Levy-Bertrand, F., Chapelier, C.
Besides its fundamental interest, understanding the dynamics of pair breaking in superconducting nanostructures is a central issue to optimize the performances of superconducting devices such as qubits or photon detectors. However, despite substantia
Externí odkaz:
http://arxiv.org/abs/2210.15307
Publikováno v:
In Computers and Mathematics with Applications 15 December 2024 176:165-178
Autor:
Chapelier-Laget, Nathan
Let $W$ be an irreducible Weyl group and $W_a$ its affine Weyl group. In a previous work the author introduced an affine variety $\widehat{X}_{W_a}$, called the Shi variety of $W_a$, whose integral points are in bijection with $W_a$. The set of irred
Externí odkaz:
http://arxiv.org/abs/2203.00532