Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On orbital variety closures in sl(n). I. Induced Duflo order   For a semisimple Lie algebra g the orbit method attempts to assign
representations of g to (coadjoint) orbits in g*. Orbital varieties are
particular Lagrangian subvarieties of such orbits leading to highest weight
representations of g. In sl(n) orbital varieties are described by Young
tableaux. Inclusion relation on orbital variety closures defines a partial
order on Young tableaux. Our aim is to describe this order. The paper is
devoted to the combinatorial description of induced Duflo order on Young
tableaux (the order generated by inclusion of generating subspaces of orbital
varieties). This is a very interesting and complex combinatorial question. This
is the first paper in the series. In Part II and Part III we use repeatedly the
results of the paper as a basis for further study of orbital variety closures.

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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg