品牌专业第二课堂课程:李代数导引
主讲人:Prof. Kaiming Zhao (Wilfrid Laurier University, Canada)课程简介:This two week mini-course is an introduction to Lie algebra theory. It is aimed at
undergraduate and graduate students. It does not assume any prior knowledge of Lie algebras.
Its goal is to prepare the students for further study on any areas of algebra, combinatorics
and mathematical physics. The mini-course will therefore be devoted to the structure theory of
general Lie algebras.
Course description: The course will cover the structure theory of finite-dimensional semisimple Lie algebras
over algebraically closed fields of characteristic zero as well as the concept of a presentation of a Lie
algebra and Serre's Theorem on the presentation of semisimple Lie algebras. These topics are for example
covered in the books • N. Bourbaki, Lie Groups and Lie Algebras, Ch. I and VIII. • R. Carter, Lie Algebras of Finite and Affine Type,, sections 1-9, or • J. Humphreys, Introduction to Lie Algebras and Representation Theory, sections 1-12, 14, 17 and 18. Prerequisites: Advanced Linear Algebra 上课地点:维格堂113上课时间: 2018年5月14日(星期一)18:30-21:30 2018年5月15日(星期二)18:30-21:30 2018年5月16日(星期三)18:30-21:30 2018年5月17日(星期四)18:30-21:30 2018年5月20日(星期天)18:30-21:30 2018年5月21日(星期一)18:30-21:30 2018年5月22日(星期二)18:30-21:30