Results 61 to 70 of about 2,143,040 (330)

Cohomology of moduli spaces of Del Pezzo surfaces

Mathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023
Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
wiley   +1 more source

Confluence of singularities of differential equation: a Lie algebra contraction approach [PDF]

, 2008
We investigate here the confluence of singularities of Mathieu differential equation by means of the Lie algebra contraction of the Lie algebra of the motion group M(2) on the Heisenberg Lie algebra H(3).
Manchon, Dominique, Zahaf, Mohammed Brahim   +1 more
core   +2 more sources

Advancement in Colloidal Metasurfaces: Approaches for Scalable Photonic Devices

Advanced Materials Interfaces, EarlyView.
This perspective explores colloidal metasurfaces composed of plasmonic and emitting nanoparticles assembled by laser interference lithography and template‐assisted self‐assembly methods. Precise design strategies achieve directional emission, low‐threshold lasing, and tunable photonic bandgaps.
Sezer Seçkin, Swagato Sarkar, Tobias A.F. König   +2 more
wiley   +1 more source

Noncomplete affine structures on Lie algebras of maximal class

International Journal of Mathematics and Mathematical Sciences, 2002
Every affine structure on Lie algebra 𝔤 defines a representation of 𝔤 in aff(ℝn). If 𝔤 is a nilpotent Lie algebra provided with a complete affine structure then the corresponding representation is nilpotent.
E. Remm, Michel Goze
doaj   +1 more source

Lie algebra expansion and integrability in superstring Sigma-models

Journal of High Energy Physics, 2020
Lie algebra expansion is a technique to generate new Lie algebras from a given one. In this paper, we apply the method of Lie algebra expansion to superstring σ-models with a ℤ4 coset target space.
Andrea Fontanella, Luca Romano
doaj   +1 more source

Categorified Symplectic Geometry and the String Lie 2-Algebra

, 2009
Multisymplectic geometry is a generalization of symplectic geometry suitable for n-dimensional field theories, in which the nondegenerate 2-form of symplectic geometry is replaced by a nondegenerate (n+1)-form. The case n = 2 is relevant to string theory:
Baez, John C., Rogers, Christopher L.
core   +1 more source

The Frequency‐Domain Lattice Boltzmann Method (FreqD‐LBM): A Versatile Tool to Predict the QCM Response Induced by Structured Samples

Advanced Theory and Simulations, EarlyView.
FreqD‐LBM simulates the oscillatory flow at the surface of a QCM‐D resonator in the presence of structured adsorbates. It derives shifts of frequency and bandwidth (equivalent to dissipation) on different overtones. Applications include rough surfaces, adsorbed rigid particles, adsorbed viscoelastic particles, spheres floating freely above the surface,
Diethelm Johannsmann, Paul Häusner, Arne Langhoff, Christian Leppin, Ilya Reviakine, Viktor Vanoppen   +5 more
wiley   +1 more source

Symmetry analysis of the canonical connection on Lie groups: six-dimensional case with abelian nilradical and one-dimensional center

AIMS Mathematics
In this article, the investigation into the Lie symmetry algebra of the geodesic equations of the canonical connection on a Lie group was continued. The key ideas of Lie group, Lie algebra, linear connection, and symmetry were quickly reviewed. The focus
Nouf Almutiben , Ryad Ghanam, G. Thompson, Edward L. Boone   +3 more
doaj   +1 more source

Acoustic Rayleigh Wave Turbulence in Soft Viscoelastic Matter

Advanced Science, EarlyView.
Discrete acoustic Rayleigh wave turbulence (DARWT) is observed on the free surface of viscoelastic materials under monochromatic excitation. Governed by bulk shear rigidity supporting inertial modes against surface tension, the nonlinear Rayleigh waves exhibit distinct power‐law scaling and turbulence features in their Kolmogorov–Zakharov spectra. This
Mikheil Kharbedia, Horacio López‐Menéndez, Basilio Javier García, Manuel G. Velarde, Francisco Monroy   +4 more
wiley   +1 more source

Projectable Lie algebras of vector fields in 3D [PDF]

, 2018
Starting with Lie's classification of finite-dimensional transitive Lie algebras of vector fields on $\mathbb C^2$ we construct Lie algebras of vector fields on the bundle $\mathbb C^2 \times \mathbb C$ by lifting the Lie algebras from the base. There are essentially three types of transitive lifts and we compute all of them for the Lie algebras from ...
arxiv   +1 more source