Dear Zilya,
   Any of the standard texts on representation theory are good references. 
In particular, those on the symmetric group or simple Lie algebras such as 
Sagan's *The Symmetric Group*, Fulton's *Young Tableaux*, or *Representation 
Theory* by Fulton and Harris. However, aspects of this project will not 
have much utility for graph theory as far as I know.

Best,
Travis


On Wednesday, February 26, 2020 at 6:57:52 PM UTC+10, Zilya Khusnutdinova 
wrote:
>
> Hello!
>
> Let me introduce myself. My name is Zilia Khusnutdinova and I am a second 
> Year PhD student in the South Ural State university, Russia. My research 
> area deeply connected with abstract algebra. My research topic is 
> "Symmetric graphs of cyclic TI-subgroups and their automorphisms". 
> Particularly I am investigating commutation graphs of cyclic TI-subgroups 
> of order 4. I apply SAGE for my daily research. It provides easy way to 
> check my hypothesis and investigate graph properties.
>
> I think that participation in GSOC can help me to improve my skills in 
> combanatorial algebra. My research is deeply connected with investigation 
> of distant regular graphs so I would like to participate in Database of 
> generators and of "sporadic" examples of distance-regular graphs project. 
> Also I think that Improve support of representation theory project can be 
> interesting for me.
>
> I have good programming skills. I have experience with Python, C# and C++. 
> Before applying PhD program I pursued degrees in Software engineering
>
> On the ideas page you provided several references to read for each 
> project. But I found nothing for Improve support of representation theory 
> project. Could you give some advice, what should I read to learn more about 
> this project?
>
>

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