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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 …