Hi Jing,

Regarding point 2, I think familiarity with the notions that are discussed 
on http://doc.sagemath.org/html/en/thematic_tutorials/lie/lie_basics.html 
and 
http://doc.sagemath.org/html/en/thematic_tutorials/lie/weyl_character_ring.html 
would likely be a prerequisite. As a minimal requirement, a good working 
knowledge of the finite-dimensional representation theory of GL(n) over the 
complex numbers should be useful.

Travis can give a more authoritative answer.

Best,
Michael

On Thursday, March 22, 2018 at 1:56:44 PM UTC+1, Jing Guo wrote:
>
> Hi,
>
> I am currently a sophomore majoring in CS and took honors linear algebra 
> last year, where we studied linear algebra and group theory with 
> application to representation theory of finite groups and disjoint 
> representation of SU(2). I have used Sage to explore number theory and 
> group theory.
>
> I wondered that could you help me with the following questions, since I 
> could not find relevant answers on the website:
>
> 1. Did past participants usually deliver what they proposed in the 
> proposal?
> 2. If I want to choose “implement group representations as modules” as my 
> project, how much representation theory would it needs?
>
> Thanks.
>

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