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2021年秋季学期代数短期课程计划
时间:2021-11-05 点击数:

课程名称:

local and 2-local derivations and automorphisms of Lie Algebras

授课人:赵开明教授(加拿大罗瑞尔大学)

授课方式:腾讯会议

课程简介:

This is a 5-week mini-course for graduate students and young Lie algebra researchers. We will first spend some time on reviewing history and results on this topic. Then we will present various recent results with detailed proofs, including finite-dimensional Lie algebras, Witt algebras. Its goal is to prepare the students for further study and research on local and 2-local derivations and automorphisms of various interesting Lie Algebras, possibly establish some general results.

The course will introduce the concepts: local and 2-local derivations and automorphisms of Lie Algebras. The main problem in this subject is to determine all local and 2-local automorphisms (resp. local and 2-local derivations), and to see whether every local or 2-local automorphism (resp. local or 2-local derivation) automatically becomes an automorphism (resp. a derivation) of Lie Algebra, that is, whether automorphisms (resp. derivations) of an algebra can be completely determined by their local actions. The contents of this course come from scattered recent research papers, including


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