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Results tagged with reference-request
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user 41139
This tag is used if a reference is needed in a paper or textbook on a specific result.
14
votes
3
answers
938
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Where does the really nice '8-dimensional' description of the $E_7$ root system come from?
The Wikipedia page on $E_7$ tells me:
Even though the roots span a 7-dimensional space, it is more symmetric and convenient to represent them as vectors lying in a 7-dimensional subspace of an 8-d …
- 2,493
7
votes
Accepted
First Explicit Irreducible Representations
I think "Group Theory for Unified Model Building" by R. Slansky qualifies. As the title suggests it is written with an application in physics (beyond my understanding) in mind, but the tables are very …
- 2,493
7
votes
Concise introduction to Beta transformations
Everything I know about beta-transformations I learned from Charlene Kalle, whose PhD thesis (Utrecht University, 2009) can be downloaded here: http://www.math.leidenuniv.nl/~kallecccj/proefschrift.pd …
- 2,493
6
votes
A second course in the representation theory
I think when it comes to second courses, the question OF WHAT you take your representations becomes more relevant. I will say something about representations of Lie groups because that is where I ende …
5
votes
0
answers
77
views
Reference request: associative subalgebras of Cayley algebras are at most 4-dimensional
By a Cayley algebra I mean an 8-dimensional algebra (over an arbitrary field) formed in the Cayley-Dickson process. (They are also called octonion algebras, but I prefer to reserve the term octonion f …
- 2,493
3
votes
The Casimir invariant of an irreducible representation of a compact Lie group
[I started to type this as a comment but it took like ten comments to fit, so I paste it into an answer. It is an answer as it explains how you can use the references you already have to answer your q …
- 2,493