I am writing an undergraduate "thesis" on group representations (no original work, basically a glorified research paper). I was wondering if anyone could suggest interesting aspects that might be worth writing about in my paper. I have only just begun to explore the topic, and I see that it is quite broad. I'm thinking I like finite groups, and maybe restricting the field over which I explore the matrices would be interesting. (besides, I'm not a fan of complex numbers..) I definitely plan to look into reductions and minimal representations. Sorry if my terminology is wrong, I'm really just beginning with this. I'm really excited about this research, I love algebra! Oh, and any books that you think might be helpful would be appreciated, especially books that are not very advanced. I haven't taken analysis or topology yet, and I'm finding a lot of material kind of inaccessible.