q-Deformation of W(2,2) Lie algebra associated with quantum groups
Lamei Yuan
TL;DR
This paper constructs a q-deformation of the W(2,2) Lie algebra using bosonic and fermionic oscillators and fully characterizes its quantum group structure.
Contribution
It provides an explicit realization of the q-deformation of W(2,2) Lie algebra and determines its quantum group structures.
Findings
Explicit realization of q-deformed W(2,2) Lie algebra
Complete characterization of quantum group structures
Foundation for further quantum algebra research
Abstract
An explicit realization of the W(2,2) Lie algebra is presented using the famous bosonic and fermionic oscillators in physics, which is then used to construct the q-deformation of this Lie algebra. Furthermore, the quantum group structures on the q-deformation of this Lie algebra are completely determined.
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