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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.

6 votes
1 answer
278 views

Multiplication factors in folding root systems and Lie algebras by automorphisms

When Stembridge, in the paper Folding by automorphisms, considers folding by automorphism $\sigma$ he considers the root system generated by for each orbit $J$. $$\sum_{i \in J} \alpha_i .$$ Whereas C …
2 votes
0 answers
162 views

Representation theory of reductive lie algebras

I have studied Lie algebras at the level of Humphrey's Introduction to Lie Algebras and Representation Theory. This only really includes representation theory of semisimple lie algebras. In the contex …