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

La Mei Yuan

doi:10.1007/s10114-012-0544-y

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

La Mei Yuan

School of Mathematics

University of Science and Technology of China

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The q-deformation of W (2, 2) Lie algebra is well defined based on a realization of this Lie algebra by using the famous bosonic and fermionic oscillators in physics. Furthermore, the quantum group structures on the q-deformation of W (2, 2) Lie algebra are completely determined. Finally, the 1-dimensional central extension of the q-deformed W (2, 2) Lie algebra is studied, which turns out to be coincided with the conventional W (2, 2) Lie algebra in the q → 1 limit.

Original language	English
Pages (from-to)	2213-2226
Number of pages	14
Journal	Acta Mathematica Sinica, English Series
Volume	28
Issue number	11
DOIs	https://doi.org/10.1007/s10114-012-0544-y
State	Published - Nov 2012

Keywords

W (2, 2) Lie algebra
central extension
q-deformation
quantum group

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10.1007/s10114-012-0544-y

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

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