Recent content by semisimple

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    Proving Non-Simplicity of Algebra with Two Generators

    Hi Matt, From what you say it must be Lie Algebras that I have to prove it for. The question just said "prove that an algebra...", but the title of the questions in general says "Lie Algebras". I was unsure at first, but decided he must mean Lie Algebra for that question. Sorry I didn't...
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    Proving Non-Simplicity of Algebra with Two Generators

    Hi, I have been asked to prove that an algebra with only two generators can not be simple. I have thought about it and have tried to show that one of the two structure constants go to zero in the Lie algebra condition that [xi,xj]=sumoverk Cijkxk , but I can't find any way to show that (using...
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    Struggling to understand Lie Algebra: Constructing Weight Diagrams

    Thanks a lot for your replies. I wish I had more time to try to understand, but it is a five week lie algebra course that finishes in a week. I will get the book you recomended out tomorrow and be staying up every night. Honours is hard, especially when you are struggling with coursework. I...
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    Struggling to understand Lie Algebra: Constructing Weight Diagrams

    Hi, I have spent all weekend reading Textbooks, where I concentrated on Cahn, trying to understand what is going on in Lie Algebra lecture notes. I am having a lot of trouble because I have no background in maths other than applied maths, and lie algebras is so different to applied maths and I...
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