Looking at Gabriel's theorem on Wikipedia page I found the following statement.

Dlab & Ringel (1973) found a generalization of Gabriel's theorem in which all Dynkin diagrams of finite-dimensional semisimple Lie algebras occur.

The reference point to a book which is not available and that I couldn't find. Does anybody know the statement which Wikipedia is referring to? Thanks


A better reference might be the following:

Dlab, V.; Ringel, C.M. Indecomposable representations of graphs and algebras. Mem. Amer. Math. Soc. 1976, 6, v+57.

Also, the article Valued Graphs and the Representation Theory of Lie Algebras by Joel Lemay discusses this result.


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.