- #1
Lakshya
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What are these groups like SU(2) and E8XE8 etc. Can anybody explain it with full details and also give pre-requisite knowledge.
Theoretical Groups: Explaining SU(2), E8XE8 & More
- Context: Graduate
- Thread starter Lakshya
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SUMMARY
This discussion focuses on the theoretical groups SU(2) and E8XE8, emphasizing their complexity and the need for foundational knowledge in Lie groups and algebras. Recommended resources include "Lectures on Lie Groups and Lie Algebras" by Carter, Segal, and MacDonald for an overview, and "Lie Groups" by Bump for in-depth understanding. Caution is advised regarding the reliability of Wikipedia articles on these topics due to potential inaccuracies and misleading information.
PREREQUISITES- Understanding of Lie groups and Lie algebras
- Familiarity with mathematical literature on group theory
- Knowledge of advanced mathematical concepts
- Ability to critically evaluate online resources
- Read "Lectures on Lie Groups and Lie Algebras" by Carter, Segal, and MacDonald
- Study "Lie Groups" by Bump for detailed insights
- Explore the Wikipedia articles on SU(2) and E8 for initial context
- Investigate the concept of mathematical cranks and their impact on online resources
Mathematicians, theoretical physicists, and students interested in advanced group theory and its applications in various fields.
- #2
- #3
Chris Hillman
Science Advisor
- 2,355
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Some good books
"Full details"
Not bloody likely. Try Carter, Segal, and MacDonald, Lectures on Lie Groups and Lie Algebras for an overview and then Bump, Lie Groups for details on some of the most important ideas. You can find details on various approaches in many other books as well, such as Gilmore, Lie Groups, Lie Algebras, and Some of Their Applications.
Caution: at any given moment, Wikipedia articles may be quite impressive or they may be terribly misleading and inaccurate. In particular, be aware that mathematical cranks exist and wikishilling is a problem in the math pages at WP.
"Full details"
Not bloody likely. Try Carter, Segal, and MacDonald, Lectures on Lie Groups and Lie Algebras for an overview and then Bump, Lie Groups for details on some of the most important ideas. You can find details on various approaches in many other books as well, such as Gilmore, Lie Groups, Lie Algebras, and Some of Their Applications.Caution: at any given moment, Wikipedia articles may be quite impressive or they may be terribly misleading and inaccurate. In particular, be aware that mathematical cranks exist and wikishilling is a problem in the math pages at WP.
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