finite dimensional modules are highest weight modules

Let $ \mathfrak{g}$ be a basic classical simple Lie super algebra. I want to prove that every finite dimensional module over $ \mathfrak{g}$ has a highest weight vector.

My feeling is, since $ e_i$ ‘s are rising operators it will kill a non-zero vector and this will give us a highest weight vector and may be we need to use Lie’s theorem.

But I am unable to connect these things to get a perfect answer. If some one can tell me clearly what is happening here, that would help me a lot. Thank you.

Earn $25 per 1000 Downloads – Highest Paying PPD Network – myUpload.cc

Hello DP Users,
I'm here to introduce you all to myUpload.cc!
This is a good opportunity for who ever would like to make fast money by accumulating file downloads.

Minimum Payout: $ 10.00
You can view our rates here

*We can Increase your rates if your traffics looks good,for more details you can contact us.

SIGN UP NOW!
https://myupload.cc

If you do give us a try and are happy with the service please comment below and…​

Earn $ 25 per 1000 Downloads – Highest Paying PPD Network – myUpload.cc