Search for Senior Undergraduate Text on Lie Theory and Groups

[Math Amateur]

I am looking for a good text at senior undergraduate level on Lie Theory, and in particular, Lie Groups ...

Does anyone have any suggestions?

Peter

 

[Fallen Angel]

Hi Peter,

In math exchange you got a thread like this:

reference request - What's a good place to learn Lie groups? - Mathematics Stack Exchange

You can see Fulton-Harris book here:

http://isites.harvard.edu/fs/docs/icb.topic1381051.files/fulton-harris-representation-theory.pdf

and a good-loking course notes here:

http://www.jmilne.org/math/CourseNotes/LAG.pdf

What is your purpose studying Lie theory?

 

[Math Amateur]

Hi Peter,

In math exchange you got a thread like this:

reference request - What's a good place to learn Lie groups? - Mathematics Stack Exchange

You can see Fulton-Harris book here:

http://isites.harvard.edu/fs/docs/icb.topic1381051.files/fulton-harris-representation-theory.pdf

and a good-loking course notes here:

http://www.jmilne.org/math/CourseNotes/LAG.pdf

What is your purpose studying Lie theory?

Thanks Fallen Angel ... Your post is most helpful ...

My purpose in studying Lie Theory is simply to understand it ... It seems an area that has a wonderful blend of algebra, geometry and analysis ...

My interest was particularly raised recently by an article by Dana Mackenzie in the 2009 booklet "What's Happening in the Mathematical Sciences", about the exceptional Lie Group E8 namely:

"Charting a 248-Dimensional World"

BTW ... Thanks again for your help!

Peter

 

[Euge]

Thanks Fallen Angel ... Your post is most helpful ...

My purpose in studying Lie Theory is simply to understand it ... It seems an area that has a wonderful blend of algebra, geometry and analysis ...

My interest was particularly raised recently by an article by Dana Mackenzie in the 2009 booklet "What's Happening in the Mathematical Sciences", about the exceptional Lie Group E8 namely:

"Charting a 248-Dimensional World"

BTW ... Thanks again for your help!

Peter

Hi Peter,

It looks like you're on the same page as topsquark as far as interests are concerned. This book in the link

Matrix Groups for Undergraduates - Kristopher Tapp - Google Libri

will supply you both with the basics. The Fulton/Harris book is actually intended for a graduate audience (although I've seen the book used for undergraduates) but considering your advanced algebra background, I think you can get through Chapters 1,2,3 and Chapters 7,8,10 with little difficulty.

 

[Math Amateur]

Hi Peter,

It looks like you're on the same page as topsquark as far as interests are concerned. This book in the link

Matrix Groups for Undergraduates - Kristopher Tapp - Google Libri

will supply you both with the basics. The Fulton/Harris book is actually intended for a graduate audience (although I've seen the book used for undergraduates) but considering your advanced algebra background, I think you can get through Chapters 1,2,3 and Chapters 7,8,10 with little difficulty.

Thanks Euge,

Will definitely buy a copy of the Fulton/Harris book, especially since you and Fallen Angel recommend it ...

I have a copy of Tapp and have gone back to it now to see what it says about Lie Groups ... The book should, however, as you indicate, supply some of the basic underpinning ideas ...

Thanks for your guidance and help ...

Peter

 

[Euge]

I didn't actually recommend Fulton's book, but my point was, if you decide to work through this book, you'll probably have little difficulty with the chapters I mentioned. I did say that that book is intended for a graduate audience. I have a book on representation theory that's certainly appropriate for senior level students, but I need time to look for it.

 

[Math Amateur]

I didn't actually recommend Fulton's book, but my point was, if you decide to work through this book, you'll probably have little difficulty with the chapters I mentioned. I did say that that book is intended for a graduate audience. I have a book on representation theory that's certainly appropriate for senior level students, but I need time to look for it.

OK, understand ... Please let let me know about the senior level book when you have had time to form an opinion regarding it ...

Peter