Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Whittaker modules for the derivation Lie algebra of torus with two
  variables   Let $\mathcal{L}$ be the derivation Lie algebra of ${\mathbb C}[t_1^{\pm
1},t_2^{\pm 1}]$. Given a triangle decomposition
  $\mathcal{L} =\mathcal{L}^{+}\oplus\mathfrak{h}\oplus\mathcal{L}^{-}$, we
define a nonsingular Lie algebra homomorphism
$\psi:\mathcal{L}^{+}\rightarrow\mathbb{C}$ and the universal Whittaker
$\mathcal{L}$-module $W_{\psi}$ of type $\psi$. We obtain all Whittaker vectors
and submodules of $W_{\psi}$, and all simple Whittaker $\mathcal{L}$-modules of
type $\psi$.

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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas