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描述
对称群、矩阵表示与应用 对称群、其不变量及矩阵表示。置换群、旋转群。通过线性变换(矩阵)表示离散群与连续群。群表示的一般性质与构造。特定群的表示。Lie 群与 Lie 代数。数学与理论物理各领域的应用。先修科目:MATH 2P12 或经授课教师许可。注:本课程可能以多种授课方式提供。授课方式将在学期课程表中列出。*
先修课程
- 先修课程:MATH 2P12 或经授课教师许可。
条件与方式
- 先修课程:MATH 2P12 或经授课教师许可。
- 注:本课程可能以多种授课方式开设。授课方式将在适用学期的学术课程表中列出。*
原文参考文本
Symmetry Groups, Matrix Representations and Applications Symmetry groups, their invariants and matrix representations. Permutation groups, rotation groups. Representations of discrete and continuous groups by linear transformations (matrices). General properties and constructions of group representations. Representations of specific groups. Lie groups and Lie algebras. Applications in various areas of Mathematics and Theoretical Physics . Prerequisite(s): MATH 2P12 or permission of the instructor. Note: this course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term. *
- Prerequisite(s): MATH 2P12 or permission of the instructor.
- Note: this course may be offered in multiple modes of delivery. The method of delivery will be listed on the academic timetable, in the applicable term. *
来源与参考
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来源参考 : https://brocku.ca/webcal/2024/undergrad/math.html