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Classification of finite dimensional Hopf algebras is one of central problems in Hopf algebra theory. In my PhD thesis, I gave a new standard to classify finite dimensional Hopf algebras. The first part of this paper is try to settle two unsolved problems in my thesis.Explicitly, we study the possible Hopf structures on Cprdo(n,q) and classify tame basic Hopf algebras completely.The second part of this paper is inspired by the classification of 1-dimensional connected algebraic groups. Some non-trivial quantization of 1-dimensional connected algebraic groups are constructed. These constructions show that the classification of noetherian affine prime regular Hopf algebras of Gelfand-Kirillov dimension 1 is more complicated than our expectation. The last chapter, which is a kind of preparation for my further research, is to give some simple computations on Hecke algebras. Except Section 5.1, almost all other computations are not new.