Quantum Deformation of igl(n) Algebra on Quantum Space

Abstract

We study quantum deformed $gl(n)$ and $igl(n)$ algebras on a quantum space discussing multi-parametric extension. We realize elements of deformed $gl(n)$ and $igl(n)$ algebras by a quantum fermionic space. We investigate a map between deformed $igl(2)$ algebras of our basis and other basis.

arXiv comment14 pages, Latex, version published in Mod. Phys. Lett. A