Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Completing the classification of representations of $\mathrm{SL}_n$ with
  complete intersection invariant ring   We present a full list of all representations of the special linear group
$\mathrm{SL}_n$ over the complex numbers with complete intersection invariant
ring, completing the classification of Shmelkin. For this task, we combine
three techniques. Firstly, the graph method for invariants of $\mathrm{SL}_n$
developed by the author to compute invariants, covariants and explicit forms of
syzygies. Secondly, a new algorithm for finding a monomial order such that a
certain basis of an ideal is a Gr\"obner basis with respect to this order,
inbetween usual Gr\"obner basis computation and computation of the Gr\"obner
fan. Lastly, a modification of an algorithm by Xin for MacMahon partition
analysis to compute Hilbert series.

23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg