Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restriction of representations of $GL(n+1,C)$ to $GL(n,C)$ and action of
  the Lie overalgebra   Consider a restriction of an irreducible finite dimensional holomorphic
representation of $\GL(n+1,C)$ to the subgroup $GL(n,C)$ (it is determined by
the Gelfand-Tsetlin branching rule). We write explicitly formulas for
generators of the Lie algebra $gl(n+1)$ in the direct sum of representations of
$\GL(n,C)$. Nontrivial generators act as differential-difference operators, the
differential part has order $(n-1)$, the difference part acts on the space of
parameters (highest weights) of representations. We also formulate a conjecture
about unitary principal series of $GL(n,C)$

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The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
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The categories of this paper are: supr-con