5 papers
Gertsch quotient living in the "poor man's adele ring" : Kurepa-Bell-Wilson congruence
Francis Atta Howard
Wilson's theorem is notably related to left factorials, expressed as , for prime . This study examines a Kurepa-Bell-Wilson cong…
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…
Partition Functions and Kurepa Decomposition I: Algebraic computation and some physical Applications
Francis Atta Howard
This paper examines the algebraic features of notable polynomial functions and explores their combinatorial aspects by presenting precise decompositions in terms of Dobinski number…
Particles and adic integrals of Spin: spin Lie group, gamma and beta functions, ghost and applications
Mahouton Norbert Hounkonnou, Francis Atta Howard, Kinvi Kangni
In this work, we address the -adic analogues of the fermion spin Lie algebras and Lie groups. We consider the extension of the fermion spin Lie groups and Lie algebras to the $p…
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…