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Results tagged with lie-groups
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user 51424
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
2
votes
Accepted
Decategorification of Gaitsgory's strange functional equation?
This is essentially the question studied in https://arxiv.org/abs/1503.04705v4.
A (possibly wrong) comment: Unlike $\operatorname{Eis}_*$, which decategorifes (under Drinfeld-Wang's conventions) to t …
- 5,958
8
votes
Accepted
Ideal of the boundary of $G/U \subset \overline{G/U}$
Here is one way to see it, via classifying $G$-invariant radical ideals. (This has the bonus that it implicitly describes the boundary.)
Lemma: $G$-invariant ideals $I$ of $\mathbb{C}[G/U]$ are in bij …
- 5,958
6
votes
Universal enveloping algebra and the algebra of invariant differential operators
From the Lie algebra inclusion $\mathfrak{g}\rightarrow \Gamma(T_G)$ of right invariant vector fields we get a map $U(\mathfrak{g})\rightarrow\Gamma(\mathcal{D}_G).$ This induces a map $U(\mathfrak{g} …
- 5,958