量子包络代数Uq（sl2）的代数自同构

令Ｕｑ表示一个有限维单李代数ψ的普遍包络代数的量子化。文献「１」描述了代数Ｕｑ（ψ）的所有Ｈｏｐｆ－代数自同构。文献「２」确定Ｕｑ（ψ）的所有变形代数自同构，所谓变形代数自同构是指底下的单李代数ψ的自同构的形变。文中将确定代数Ｕｑ（ｓｌ２）的所有代数自同构。从而表明Ｕｑ（ｓｌ２）的所有代数自同构都是变形代数自同构。

Algebra Automorphisms of the Quanized Enveloping Algebra U_q(_sl_2) at Generic

Let Uq be the quantization of the universal enveloping algebra of a finite dimensional sample Lie algebra. at generic q. Twiettheyer[1] described all Hopf algebra automorphisms of the quantized algebra Uq. The author[2]determined all deformed algebra automorphisms of the algebra Uq, which is a deformation of automorphisms of the underlying simple Lie algebra In the present paper we will determine all algebra antomorphisms of the quantized algebra U, which shows that algebra automorphisms of the algebra Uq are all deformed.