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Results tagged with rt.representation-theory
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user 43108
Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
6
votes
Good source for representation of GL(n) over finite fields?
I think the standard reference for representations over finite fields still is
J. L. Alperin, "Local Representation Theory" (1986)
I you want a much briefer introduction, the last chapters of Serr …
- 17.6k
8
votes
Accepted
Artin conjecture on L-functions
This is the status as far as I know. For dimension $\leq 2$ it is up to date. For higher dimensional representations I'm sure it is very incomplete, so feel free to edit or comment.
Dimension 1. Known …
- 17.6k
7
votes
Philosophy behind cohomological representations
This is just a long comment, and I'm not sure if it is the kind of thing you're looking for. Hopefully someone can give a proper answer to your question.
In an old question, Paul Garrett made the fol …
- 17.6k
16
votes
Accepted
What happened to the fourth paper in the series "On the classification of primitive ideals f...
It was written, but never published.
Tyson Gern's 2013 thesis references it:
D. Garfinkle. On the classification of primitive ideals for complex classical Lie algebras, IV. unpublished.
Fortunate …
- 17.6k
8
votes
3
answers
1k
views
Beyond Brauer's theorem
Brauer's classic theorem states that any character of a finite group can be expressed as a linear combination with integer coefficients of characters induced by linear characters of p-elementary subgr …
- 17.6k