Showing math-phShow all
2 papers · 1 filter
math-ph2025
Isomorphisms of $\Spin\left( \frac{1}{2}\right) $ to $\SU(1,1)-\mbox{Boson}$: Universal Enveloping and Kangni-type Transformation
Francis Atta Howard, Kinvi Kangni
In this study we investigate the nexus between the $\Spin (\frac12)$ and the $\SU(1,1)$-quasi boson Lie structure and reveal related properties as well as some decomposition of spi…
math-ph2020
Group-algebraic characterization of spin particles: semi-simplicty, SO(2N) structure and Iwasawa decomposition
Mahouton Norbert Hounkonnou, Francis Atta Howard, Kangni Kinvi
In this paper, we focus on the characterization of Lie algebras of fermionic, bosonic and parastatistic operators of spin particles. We provide a method to construct a Lie group st…