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。

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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。

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Methods in evaluating integrals, some complex variable methods, infinite series, special function, ordinary differential equations, vector and materials, groups and group representations.

计算积分的方法、复数方法、无线级数、奇殊函数、微分方程、向量及矩阵、群论。

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The commission said it had received several representations from individuals and groups to include eunuchs in the electoral rolls with a separate identity.

BBC: Eunuchs in India

And Chris Keates of the NASUWT teachers' union welcomed the way the government had taken on board its representations to ensure the toolkit covered the extremism of fascist and racist groups.

BBC: Ed Balls