Dissertation > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Abstract algebra ( Algebra ) > Ring Theory

Classification of Infinitely Dimensional Indecomposable Uq(sl2)-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
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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 . Finite-dimensional 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 Yang-Baxter equation , two-dimensional 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 infinite-dimensional 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 infinite-dimensional indecomposable representation of Uq ( sl2 ) .

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