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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
- Thread starter Lakshya
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In summary, SU(2) and E8XE8 are groups in mathematics that have various applications and connections to other fields. Understanding these groups requires prerequisite knowledge in Lie groups and Lie algebras, which can be found in various books such as Carter, Segal, and MacDonald's "Lectures on Lie Groups and Lie Algebras" and Bump's "Lie Groups." It is important to be cautious when using Wikipedia as a source for these topics, as accuracy may vary.
- #2
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Chris Hillman
Science Advisor
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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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1. What is SU(2)?
SU(2) is a mathematical concept known as a "special unitary group." It represents a type of symmetry that is important in many areas of physics, including quantum mechanics and particle physics.
2. What is E8xE8?
E8xE8 is a mathematical group that arises in the study of string theory. It is a combination of two E8 groups, which are the largest and most complex of the exceptional Lie groups.
3. How are these theoretical groups used in science?
These groups are used in theoretical physics to describe symmetries and interactions of particles at the fundamental level. They are also important in the study of string theory and other areas of theoretical physics.
4. What is the significance of these groups in our understanding of the universe?
These groups provide a framework for understanding the fundamental laws and symmetries that govern the universe. They help scientists develop theories and make predictions about the behavior of particles and forces at the smallest scales.
5. Are there any real-world applications of these theoretical groups?
While these groups are primarily used in theoretical physics, they have also found applications in other fields such as computer science and cryptography. For example, E8xE8 has been used in the development of error-correcting codes for secure communication.
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