Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Chevalley restriction theorem for semi-reductive algebraic groups and
  its applications   An algebraic group is called semi-reductive if it is a semi-direct product of
a reductive subgroup and the unipotent radical. Such a semi-reductive algebraic
group naturally arises and also plays a key role in the study of modular
representations of non-classical finite-dimensional simple Lie algebras in
positive characteristic, and some other cases. Let $G$ ba a connected
semi-reductive algebraic group over an algebraically closed field $\mathbb{F}$
and $\mathfrak{g}=Lie(G)$. It turns out that $G$ has many same properties as
reductive groups, such as the Bruhat decomposition. In this note, we obtain an
analogue of classical Chevalley restriction theorem for $\mathfrak{g}$, which
says that the $G$-invariant ring $\mathbb{F}[\mathfrak{g}]^G$ is a polynomial
ring if $\mathfrak{g}$ satisfies a certain "posivity" condition suited for lots
of cases we are interested in. As applications, we further investigate the
nilpotent cones and resolutions of singularities for semi-reductive Lie
algebras.

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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: hep-lat