Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant deformations of orbit closures in $\mathfrak{sl}_n$   We study deformations of orbit closures for the action of a connected
semisimple group $G$ on its Lie algebra $\mathfrak{g}$, especially when $G$ is
the special linear group. The tools we use are on the one hand the invariant
Hilbert scheme and on the other hand the sheets of $\mathfrak{g}$. We show that
when $G$ is the special linear group, the connected components of the invariant
Hilbert schemes we get are the geometric quotients of the sheets of
$\mathfrak{g}$. These quotients were constructed by Katsylo for a general
semisimple Lie algebra $\mathfrak{g}$; in our case, they happen to be affine
spaces.

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The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int