Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Normality of the dual nilcone in positive characteristic   Let $G$ be a connected semisimple algebraic group of adjoint type defined
over an algebraically closed field $K$ of positive characteristic. The
characteristic $p$ is very good for $G$ when $p$ is suitably large and, if $G$
is of type $A_n$, $p$ does not divide $n+1$. The majority of results concerning
the geometric structure of algebraic groups in positive characteristic are
valid only in very good characteristic. We demonstrate that the dual nilcone
$\mathcal{N}^* \subseteq \mathfrak{g}^*$ is a normal variety in certain
characteristics which are not very good for $G$. As an application, we extend
the results of Ardakov and Wadsley on representations of $p$-adic Lie groups.
Under further restrictions on the characteristic, we show that the canonical
dimension of a coadmissible representation of a semisimple $p$-adic Lie group
in a $p$-adic Banach space is either zero or at least half the dimension of a
nonzero coadjoint orbit.

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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: econ
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex