16 citations · 24 across the 5 of their papers we have counts for
5 papers
Classification of Hopf superalgebras associated with quantum special linear superalgebra at roots of unity using Weyl groupoid
Alexander Mazurenko, Vladimir A. Stukopin
We summarize the definition of the Weyl groupoid using supercategory approach in order to investigate quantum superalgebras at roots of unity. We show how the structure of a Hopf s…
Classification of Hopf superalgebras associated with quantum special linear superalgebra at roots of unity using Weyl groupoid
Alexander Mazurenko, Vladimir A. Stukopin
We summarize the definition of the Weyl groupoid using supercategory approach in order to investigate quantum superalgebras at roots of unity. We show how the structure of a Hopf s…
-matrix for quantum superalgebra at roots of unity and its application to centralizer algebras
Alexander Mazurenko, Vladimir A. Stukopin
We consider fundamental facts from the theory of Hopf superalgebras. We use them to construct the quantum double of the quantum superalgebra at roots of unity. Thus we ob…
Numerical modeling of collisional dynamics of Sr in an optical dipole trap
M. Yan, R. Chakraborty, A. Mazurenko +4
We describe a model of inelastic and elastic collisional dynamics of atoms in an optical dipole trap that utilizes numerical evaluation of statistical mechanical quantities and num…
N-Level Quantum Systems and Legendre Functions
A. S. Mazurenko, V. A. Savva
An excitation dynamics of new quantum systems of N equidistant energy levels in a monochromatic field has been investigated. To obtain exact analytical solutions of dynamic equatio…