Let $V$ be a finite dimensional $k$-vector space which is a simple $\mathfrak{sl}_2$-module. Here $k$ is a field of characteristic $0$ and we let $\bar{k}$ denote its algebraic closure.

I was wondering is $V \otimes \bar{k}$ still a simple $\mathfrak{sl}_2$-module? Any comments would be appreciated. Thank you.


Your Answer

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

Browse other questions tagged or ask your own question.