Alkalaev, K. B.
Published in
Theoretical and Mathematical Physics

Using the su(2, 2) spinor language, we describe free mixed-symmetry massless bosonic and fermionic gauge fields of arbitrary spins in the AdS5 space. We construct manifestly covariant action functionals and derive field equations.

Sergyeyev, A.
Published in
Journal of Mathematical Sciences

We generalize earlier results of Fokas and Liu and find all locally analytic (1 + 1)-dimensional evolution equations of order n that admit an N-shock-type solution with N ≤ n + 1. For this, we develop a refinement of the technique from our earlier work, where we completely characterized all (1+1)-dimensional evolution systems ut = F (x, t, u, ∂u/∂x...

Franke, V. A.
Published in
Theoretical and Mathematical Physics

We describe the four most famous versions of the classical canonical formalism in the Einstein theory of gravity: the Arnovitt-Deser-Misner formalism, the Faddeev-Popov formalism, the frame formalism in the usual form, and the frame formalism in the form best suited for constructing the loop theory of gravity, which is now being developed. We prese...

Andrianov, A. A. Sokolov, A. V.
Published in
Journal of Mathematical Sciences

We study possible factorizations of supersymmetric (SUSY) transformations in the one-dimensional quantum mechanics into chains of elementary Darboux transformations with nonsingular coefficients. A classification of irreducible (almost) isospectral transformations and of related SUSY algebras is presented. A detailed analysis of SUSY algebras and i...

Daniyarova, E. Yu. Kazatchkov, I. V. Remeslennikov, V. N.
Published in
Journal of Mathematical Sciences

This paper is the second in a series of three, the object of which is to construct an algebraic geometry over the free metabelian Lie algebra F. For the universal closure of a free metabelian Lie algebra of finite rank r ⩾ 2 over a finite field k we find convenient sets of axioms in two distinct languages: with constants and without them. We give a...

Daniyarova, E. Yu. Kazatchkov, I. V. Remeslennikov, V. N.
Published in
Journal of Mathematical Sciences

This article is the fourth part of the series of papers whose aim is the construction of algebraic geometry over metabelian Lie algebras.

Daniyarova, E. Yu. Kazatchkov, I. V. Remeslennikov, V. N.
Published in
Journal of Mathematical Sciences

This paper is the first in a series of three, the object of which is to lay the foundations of algebraic geometry over the free metabelian Lie algebra F. In the current paper, we introduce the notion of a metabelian U-Lie algebra and establish connections between metabelian U-Lie algebras and special matrix Lie algebras. We define the Δ-localizatio...

Maksimović, I. Kastori, R. Krstić, L. Luković, J.
Published in
Biologia Plantarum

When growing in the field, plants are exposed to the effect of heavy metals as soon as the seed comes into contact with the soil solution. Therefore, we found important to study the effect of Cd and Ni on maize exposed to these heavy metals since sowing. The aim of this work was to examine which anatomical changes are induced by continuous intoxica...

Yang, X. Guo, X. Zhang, X. Nie, Y. Jin, S.
Published in
Biologia Plantarum

Protoplasts isolated from wild cotton Gossypium davidsonii were cultured in KM8P medium supplemented with different phytohormones. The most effective combination was 0.45 µM 2,4-dichlorophenoxyacetic acid, 2.68 µM α-naphthaleneacetic acid and 0.93 µM kinetin and the division percentage at the 8th day was 30.78 ± 3.04 %. The density of protoplasts a...

Wang, J.-W. Kao, C. H.
Published in
Biologia Plantarum

The effect of AlCl3 on the antioxidant system of rice roots and the role of applied antioxidants ascorbic acid (AsA) and glutathione (GSH) in AlCl3-inhibited growth of rice roots were investigated. AlCl3 treatment resulted in a rapid inhibition of root growth but had no effect on lipid peroxidation and antioxidative enzyme activities in rice roots....