Standard Bases for the Universal Associative Conformal Envelopes of Kac–Moody Conformal Algebras

We study the universal enveloping associative conformal algebra for the central extension of a current Lie conformal algebra at the locality level N =?3. A standard basis of defining relations for this algebra is explicitly calculated. As a corollary, we find a linear basis of the free commutative conformal algebra relative to the locality N =?3 on the generators.

     

Radiative Characteristics of Shock-Heated Oxygen

Journal of Applied Spectroscopy - The emission spectra of oxygen behind the front of a strong shock wave were studied in the range of shock wave speeds of 5.7–7.4 and 8.1–10.0 km/s at...     

On the Problem of Separation of Variables in Systems of Ordinary Differential Equations

Differential Equations - Conditions for the separation of variables in autonomous systems of general differential equations are discussed. The approach is based on Liouville’s idea of...     

Effect of Distributed Suction on the Development of Disturbances on the Wing Profile

Doklady Physics - The results of experimental investigations of the effect of distributed suction through a perforated section of a symmetric wing profile on the spatial development of disturbances...     

The Stability of Circulatory Systems

Doklady Physics - The stability of linear mechanical systems in nonpotential force fields is studied. Under the presence of circulatory forces, the system is nonconservative, yet it can always be...     

Optimization the Optical Structure of the NICA Collider

Physics of Particles and Nuclei Letters - The optimization of the optical structure of the NICA Collider is presented. The Collider optics settings are given for a working point of 9.44/9.44 and a...     

Synthesis of Bifunctional Silica Container Particles on Antiseptic Micelles with Solubilized Curcumin and Assessment of Their Biological Activity

Colloid Journal - The features of the synthesis of SiO2 mesoporous container particles (MCPs) using a hybrid template represented by miramistin micelles with curcumin solubilized in them have been...     

Application of the High-Speed Photography Technique to Study Pulsed Vacuum Arc Plasma in a Short Gap

Physics of Atomic Nuclei - We studied the process of switching a short vacuum gap, initiated by an auxiliary discharge along the surface of the dielectric by registration images using an...     

Atom-economic Approach to the Synthesis of α-(Hetero)aryl-substituted Furan Derivatives from Biomass

An atom-economic ring construction approach to the synthesis of α-(hetero)arylfurans based on renewable furanic platform chemicals has been developed. Corresponding compounds have been prepared in good to excellent yields via [2+2+2] and [4+2] cycloaddition reactions using metal-catalyzed or photoredox protocols. Easily available HMF-based 2-hydroxymethyl-5-ethynylfuran and 2-hydroxymethyl-5-cyanofuran were used as starting materials. A synthetic route with an improved carbon economy factor has been implemented to achieve sustainability aim. The possible application of arylfurans as molecular conductors has been investigated by DFT calculations, which revealed excellent charge transfer properties. As a future perspective, integration of biomass processing strategy into manufacturing of molecular electronics was pointed out to achieve the aim of sustainability.