Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The B-orbits on a Hermitian symmetric variety in characteristic 2   Let $G$ be a reductive linear algebraic group over an algebraically closed
field $\mathbb{K}$ of characteristic $2$. Fix a parabolic subgroup $P$ such
that the corresponding parabolic subgroup over $\mathbb{C}$ has abelian
unipotent radical and fix a Levi subgroup $L\subseteq P$. We parametrize the
orbits of a Borel $B\subseteq P$ over the Hermitian symmetric variety $G/L$
supposing the root system $\Phi$ is irreducible. For $\Phi$ simply laced we
prove a combinatorial characterization of the Bruhat order over these orbits.
We also prove a formula to compute the dimension of the orbits from
combinatorial characteristics of their representatives.

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The categories of this paper are: hep-th
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: cond-mat