Classification of Infinitely Dimensional Indecomposable U_{q}（sl_{2}）modules 

Author  YangDongMei 
Tutor  YangShiLin 
School  Beijing University of Technology 
Course  Basic mathematics 
Keywords  UQ sl2  mold Harish  Chandra mode The standard UQ SL2 mode 
CLC  O153.3 
Type  Master's thesis 
Year  2005 
Downloads  26 
Quotes  0 
In this paper , we first give indecomposable Harish  Chandra Uq ( sl2 )  Classification of the mold , and then discuss the tensor product standard grumble Uq ( sl2 ) mode . Finitedimensional simple Lie algebra g quantum deformation Uq ( g ) ( moving either in mathematics or in the physical aspects occupy a very important position , especially in the YangBaxter equation , twodimensional solvable lattice analog and analog aspects has been widely used in Drinfeld  Jimbo quantum group in quantum enveloping algebra Uq ( sl2 ) is the most important and simple example . study algebra Uq ( sl2 ) Indicates critical when q is not a unit root UQ ( g ) of the representation theory of finite dimensional and U ( g ) is similar to the theory , that is to say , UQ ( g ) U ( g ) that the q deformation However , classification infinitedimensional indecomposable Uq ( g ) mode and few people pay attention to the purpose of this thesis is to reconcile analytics algebra grumble Uq ( sl2 ) classification method is extended to a single representation of the Lie algebra sl ( 2 ) algebra UQ ( SL2 ) 2 construct infinitedimensional indecomposable representation of Uq ( sl2 ) .