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谎言理论与表征理论哲学博士

Doctor of Philosophy in Lie Theory and Representation Theory

罗格斯大学新布朗斯维克分校

Rutgers, The State University of New Jersey - New Brunswick

US美国

  • 学历文凭

    学历文凭

    Ph.D.

  • 专业院系

    专业院系

    Department of Mathematics

  • 开学时间

    开学时间

  • 课程时长

    课程时长

  • 课程学费

    课程学费

    汇率提示

国际学生入学条件

Applications to the program must include various supporting materials including transcripts of previous collegiate study, three letters of recommendation, and scores from the general Graduate Record Examination. Scores from the mathematics subject GRE are also required. Applicants who are not native speakers of English are required to submit a TOEFL score. Personal statement, The minimum paper-based TOEFL score is 550. The minimum computer-based TOEFL score is 213, The minimum IBT-internet based TOEFL is Writing 22, Speaking 23, Reading 21, Listening 17, An acceptable IELTS score is bandwidth 7.
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  • 雅思总分:7
  • 托福网考总分:83
  • 托福笔试总分:550
  • 其他语言考试:NA

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课程简介

李代数和李群的结构和表示理论,以及自然类似物和概论是非常活跃的研究领域。它们包括有限维和无限维李代数和李群的理论,以及顶点算子代数理论和量子群的理论。它们与古典和现代的许多其他领域有着重要的联系,包括代数群,有限群,几何,谐波分析,微分方程,拓扑,数论,组合论以及弦论和共形场论,在理论物理学中都是如此。
The structure and representation theories of Lie algebras and of Lie groups, and natural analogues and generalizations, are very active areas of research. They include the theory of finite-dimensional and infinite-dimensional Lie algebras and Lie groups as well as vertex operator algebra theory and the theory of quantum groups. They have important connections with many other fields, both classical and modern, including algebraic groups, finite groups, geometry, harmonic analysis, differential equations, topology, number theory, combinatorics, and string theory and conformal field theory in theoretical physics.
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