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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
58
votes
Accepted
Motivating the Casimir element
I think that there are two things to be motivated: one is the Casimir, and the other is the proof of semi-simplicity.
First, for the Casimir, it might help to note that there is a ``formula-free" con …
8
votes
l-adic Turrittin
Here's a naive formulation of an analogue, which is false. (This fits very well the conditional phrasing from your question, since it would be an analogue if it were true!)
Levelt-Turrittin says that …