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

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 unpublished.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 …
Myshkin's user avatar
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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 …
Myshkin's user avatar
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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 …
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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 …
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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 …
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