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

4 votes

What is the relationship between representations of Lie algebra and Weyl algebra?

How about: R. E. Block, "The irreducible representations of the Lie algebra sl(2) and of the Weyl algebra," Adv. Math. 39 (1981), 69--110. See: link text.
Thomas Nevins's user avatar
15 votes

A precise statement of the categorical version of geometric Langlands conjecture

My (incomplete) understanding is that you are supposed to modify the "naive" attempt at the spectral side (i.e. coherent sheaves on $G^\vee$-local systems) as follows. There is a (recent) notion of m …
Thomas Nevins's user avatar
5 votes

Opers, connections

This is just a small remark about how to make sense of opers parametrized by a $\mathcal{D}_X$-algebra $R$. [And admittedly I'm not actually sure it's correct, but it seems to be the "obvious" way to …
Thomas Nevins's user avatar