Algebraic Techniques; Lie Groups and Lie Algebras; Discrete Mathematics; Quantum Groups; Stochastic Methods.

代数技巧；李群和李代数；离散数学；量子群；随机方法。

youdao

Topics covered range from computational complexity, algebraic geometry, dynamics, through to number theory and quantum groups.

直达数论和量组，题目由于计算的复杂性，代数学的几何学，力学包括范围。

youdao

The global crystal basis or canonical basis plays an important role in the theory of the quantum groups and their representations.

整体晶体基（又称为典范基）在量子群及其表示理论中起着重要的作用。

youdao

Such a quantum repeater uses groups of three photons for each bit of the message.

ECONOMIST: Quantum information technology

And although several groups, including Dr Deutsch's, are working on designing quantum computers, none actually exists as yet.

ECONOMIST: The universe, it appears, may not be alone