-4
$\begingroup$

The question is given below:

enter image description here

And this is the mentioned exercise:

enter image description here

And this is 7.4:

enter image description here enter image description here enter image description here

Could anyone give me a hint about the solution of the question, I am stucked in it ?

$\endgroup$
  • 1
    $\begingroup$ You should formulate your question in a more concise way, and showing more efforts than posting a lengthy scan. $\endgroup$ – YCor Apr 11 at 9:51
  • 1
    $\begingroup$ @YCor okay I will do this within 6 hrs ..... I am sorry $\endgroup$ – Intuition Apr 11 at 10:31
  • $\begingroup$ @YCor Sorry for being late ..... I have edited my question ...... shall I edit it more or this is fine ? Actually I have a difficulty in understanding how we get $\Psi {n}$ from $\Phi_{n}$. $\endgroup$ – Intuition Apr 13 at 21:17
0
$\begingroup$

Vinberg book "Linear representations of finite groups "" has established the isomorphism between $SO_{3}$ and $SU_{2}/\{E, -E\}$ in pg. 76 Equation (4) and you can construct $\Psi_{n}$ from $\Phi_{n}$ with $n$ even from the last paragraph given in the question above and from Equation(8) mentioned in the question above. then use the second requirement that you have proved in question 7 to conclude what is required in question 9.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.