Some questions on representation theory

[arz2000]

Hello all,

Can anybody help me solve the following exercises from the book:
Representation Theory, A first course by William Fulton and Joe Harris,1991

page 138, exercise 10.3
page 140, exercise 10.7
page 141, exercise 10.9

Thanks in Advance,

 

[matt grime]

Write the question out. (As it happens I have a copy of that book - but not necessarily the same version as yours, and it's in my office and at home).

 

[tacman]

Hi there,

I am not familiar with the specific exercises in the book you mentioned, but I can provide some general tips for approaching representation theory problems.

Firstly, make sure you have a solid understanding of the basic concepts and definitions in representation theory, such as group actions, group representations, irreducible representations, and characters.

Next, carefully read the problem and identify what group or algebra is being studied and what is being asked for. It can also be helpful to break down the problem into smaller parts and consider what tools or theorems you can use to tackle each part.

If you are stuck on a particular step, try working through some simple examples or discussing the problem with a classmate or instructor. It can also be helpful to look at similar problems or examples in your textbook or online resources.

Remember to always check your work and make sure your solutions are consistent with the definitions and theorems you have learned. Good luck with your exercises!