Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak Faddeev-Takhtajan-Volkov algebras; Lattice $W_n$ algebras   In this paper, we will start by looking through our project's historical
general view and then we will try to construct a new Poisson bracket on our
simplest example $sl_2$ and then we will try to give a universal construction
based on our universal variables and then will try to construct lattice $W_2$
algebras which will play a key role in our other constructions on lattice $W_3$
algebras and finally we will try to find the only nontrivial dependent
generator of our lattice $W_4$ algebras and so on for lattice $W_n$ algebras.
  And at the end of this paper, we will have appendix A, which will contain
some parts of the Mathematica coding which we have used and have made for to
find our algebra structures.

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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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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: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg