4 papers
Deformed Heisenberg algebra and its Hilbert space representations
Latévi M. Lawson, Ibrahim Nonkané, Kinvi Kangni
A deformation of Heisenberg algebra induces among other consequences a loss of Hermiticity of some operators that generate this algebra. Therefore, these operators are not Hermitia…
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…
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…
Deformations of relative Rota-Baxter operators on Hom-Jacobi-Jordan algebras
Jules Anitheou, Sylvain Attan, Kinvi Kangni
Representations of Hom-Jacobi-Jordan algebras are studied. In particular, adjoint representations and trivial representations are studied in detail. Derivations and central extensi…