2018年度 シラバス情報詳細

●時間割コード
20180053621

●科目区分
理系基礎科目(理系)

●科目名
数学特別講義(群論)
●主担当教員名
RICHARD Serge charle

●単位数
2単位

●開講時期
集中
-・-
●対象学部
全学部(英語授業)



●本授業の目的およびねらい

Group theory plays an important role in many fields, as for example in quantum mechanics or in particle physics. During this one semester course, we shall introduce the main concepts of groups, their representations, and present some classical groups. Lie groups and Lie algebras will also be discussed.

●履修条件あるいは関連する科目等

Basic knowledge on calculus and linear algebra, as provided in Calculus I & II and in Linear algebra I & II. Motivated 1st year students can also attend without these prerequisites but after a discussion with the instructor.

●授業内容

1. Groups and subgroups
2. Unitary representations in Hilbert spaces
3. Classical groups as SU(n), O(n), Lorentz and Poincaré groups
4. Lie groups and Lie algebras
5. Casimir element

●成績評価の方法

The final grade will be determined by the active participation during the lectures.

●教科書

Material will be provided during the lectures.

●参考書

Reference books will be provided during the lectures.

●注意事項

This course is an optional subject which does not count towards the number of credits required for graduation in any program at Nagoya University.

●本授業に関する参照Webページ



●担当者からの言葉(Webページのみ表示)




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