THE STRUCTURE OF THE QUANTUM GROUP
We study the structure of quantum group by the relation of principal indecomposable ideals and projective modules. Especially, we use the result: the multiplicity of an indecomposable projective left L-module P in the direct sum decomposition of an artin ring L equals to the dimension of corresponding simple module S as a vector space.
quantum group, principal indecomposable ideals, decomposition.
