Some algebraic groups are discussed by looking into the lattice of their closed connected normal subgroups.
代数群的连通正规闭子群与李代数的理想之间有很特殊的关系。
There are particular relations between the closed connected normal subgroups of algebraic groups and the ideals of Lie Algebras.
代数群的连通正规闭子群与李代数的理想之间有很特殊的关系。
Since then they have found numerous and deep applications in areas ranging from theoretical physics, symplectic geometry, knot theory, and modular representations of reductive algebraic groups.
从那时开始，人们发现量子群在很多领域都有着深刻的应用，范围遍及理论物理、辛几何、扭结理论与约化代数群的模表示理论等。
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。
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。
Relatively Hyperbolic Groups, Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems.
相对双曲群，内蕴几何，代数性质和算术问题。
Relatively Hyperbolic Groups, Intrinsic Geometry, Algebraic Properties, and Algorithmic Problems.
相对双曲群，内蕴几何，代数性质和算术问题。
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