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Results tagged with gr.group-theory
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user 19864
Questions about the branch of algebra that deals with groups.
24
votes
5
answers
3k
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Why are Jucys-Murphy elements' eigenvalues whole numbers?
The Jucys-Murphy elements of the group algebra of a finite symmetric group (here's the definition in Wikipedia) are known to correspond to operators diagonal in the Young basis of an irreducible repre …
- 3,513
13
votes
Why are Jucys-Murphy elements' eigenvalues whole numbers?
I came up with a more or less elementary proof of the identity from the top comment to my question. It involves nothing more advanced than some basic linear algebra.
Namely, let us denote $X_k=\sum\l …
- 3,513