Results
author = "Abramov, V"
$Z_3$-graded analogues of Clifford algebras and generalization of supersymmetry
Author(s) :
Abramov, V.
Description :
We define and study the ternary analogues of Clifford algebras. It is proved
that the ternary Clifford algebra with $N$ generators is isomorphic to the
subalgebra of the elements of grade zero of the ternary Clifford algebra with
$N+1$ generators. In the case $N=3$ the ternary commutator of cubic ...
Repository :
arXiv
Language(s) :
Undetermined
On a graded q-differential algebra
Author(s) :
Abramov, V.
Description :
Given a unital associatve graded algebra we construct the graded
q-differential algebra by means of a graded q-commutator, where q is a
primitive N-th root of unity. The N-th power (N>1) of the differential of this
graded q-differential algebra is equal to zero. We use our approach to
construct th...
Repository :
arXiv
Language(s) :
Undetermined
On the development of differential geometry in Estonia
Author(s) :
Abramov, V.
Description :
We give a brief review of a research made in the field of differential
geometry in Estonia in the period from the beginning of the 19th century to the
present time. The biographic data of mathematicians who made a valuable
contribution to the development of differential geometry in Estonia in
ment...
Repository :
arXiv
Language(s) :
Undetermined
Single Spin Effects in Collisions of Hadrons and Heavy Ions at High Energy
Author(s) :
Abramov, V. V.
Description :
Experimental data on transverse single-spin asymmetry, hyperon polarization
and vector meson alignment in h+h, h+A and A+A-collisions have been analyzed. A
new mechanism for the origin of single spin effects is proposed, which takes
into account the interaction of massive constituent quarks via th...
Repository :
arXiv
Language(s) :
Undetermined
Microscopic Stern-Gerlach Effect and Thomas Spin Precession as an Origin of the SSA
Author(s) :
Abramov, V. V.
Description :
The single-spin asymmetry and hadron polarization data are analyzed in the
framework of a phenomenological effective-color-field model. Global analysis of
the single-spin effects in hadron production is performed for h+h, h+A, A+A and
lepton+N interactions. The model explains the dependence of the...
Repository :
arXiv
Language(s) :
Undetermined
The morphometric parameters of body of the young sportswomen engaged in trampoline jumping.
Description :
The purpose of the current study was to study the dynamics of the morphometric parameters of the body of sportswomen from 10 to 17 years, engaged in trampoline jumping. The anthropometric indices: the height, weight, the body fat mass, the circumference of thorax, the leg length, the pelvic sizes we...
Repository :
DOAJ-Articles
Language(s) :
Undetermined
Analysis of the morphometric parameters of body of the women athletes engaged in badminton
Description :
The purpose of the current study was to study the dynamics of the morphometric parameters of the body of female athletes, engaged in badminton. Female athletes aged from 10 to 17 years (n=40) were examined. The next morphometric indices: the height, weight, the body fat mass, the circumference of th...
Repository :
DOAJ-Articles
Language(s) :
Undetermined
Algebra of differential forms with exterior differential $d^3=0$ in dimension one
Description :
In this work, we construct the algebra of differential forms with the cube of
exterior differential equal to zero on one-dimensional space. We prove that
this algebra is a graded q-differential algebra where q is a cubic root of
unity. Since the square of differential is not equal to zero the alge...
Repository :
arXiv
Language(s) :
Undetermined
Exterior differentials of higher order and their covariant generalization
Description :
We investigate a particular realization of generalized q-differential
calculus of exterior forms on a smooth manifold based on the assumption that
the N-th power (N>2) of exterior differential is equal to zero. It implies the
existence of cyclic commutation relations for the differentials of first...
Repository :
arXiv
Language(s) :
Undetermined
Algebras with ternary law of composition and their realization by cubic matrices
Description :
We study partially and totally associative ternary algebras of first and
second kind. Assuming the vector space underlying a ternary algebra to be a
topological space and a triple product to be continuous mapping we consider the
trivial vector bundle over a ternary algebra and show that a triple p...
Repository :
arXiv
Language(s) :
Undetermined