Universal Adjoint Action for Quantum Algebra wsl_q (2)

The present paper give the necessary and sufficient condition that wsl
_q
(2) is a quasi-module algebra over itself, then prove that the two locally finite submodule F
_t
(wsl
_q
(2)) and F
_t
(W) are equal. At last, we investigate the structure of the submodule F
_t
(wsl
_q
(2)) and give the decomposition of simple module of F
_t
(wsl
_q
(2)).