Looking for Online Document on SO(N)

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  • Thread starter Thread starter Alamino
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SUMMARY

The discussion centers on finding online resources for understanding the construction of vector and tensor representations of SO(N). A recommended resource is the website http://www.nbi.dk/GroupTheory/, which provides information on the representations of SO(n) within the broader context of Lie Groups. The conversation emphasizes that representations of SO(N) are weight representations, suggesting a need for a general approach rather than a narrowly focused search.

PREREQUISITES
  • Understanding of Lie Groups and their representations
  • Familiarity with vector and tensor mathematics
  • Basic knowledge of group theory concepts
  • Ability to navigate academic resources and online documents
NEXT STEPS
  • Research "Lie Group representations" for foundational knowledge
  • Explore "weight representations" in the context of group theory
  • Study "tensor algebra" to understand tensor representations
  • Investigate additional online resources for advanced group theory topics
USEFUL FOR

Mathematicians, physicists, and students interested in advanced topics in group theory and representation theory, particularly those focusing on SO(N) and its applications.

Alamino
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I´m looking for an online document where I can find information explaining the construction of vector and tensor representations of SO(N). Does anyone can indicate any?
 
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Maybe this is useful
http://www.nbi.dk/GroupTheory/
 
The representations of SO(n) will be subsumed under the more general area of Lie Groups, since they will be weight representations you're probably interested in. So don't be too specific in your search.
 

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