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arXiv:1006.0075 [math-ph]AbstractReferencesReviewsResources

q-Deformation of W(2,2) Lie algebra associated with quantum groups

Lamei Yuan

Published 2010-06-01, updated 2010-06-07Version 2

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.

Comments: 12 pages
Journal: Acta Mathematica Sinica, English Series, 2012
Categories: math-ph, math.MP
Subjects: 17B37, 17B68, 17B81
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