Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: local derivations on Witt algebras   In this paper, we prove that every local derivation on Witt algebras $W_n,
W_n^+$ or $W_n^{++} $ is a derivation for any $n\in\mathbb{N}$. As a
consequence, we obtain that every local derivation on a centerless generalized
Virasoro algebra of higher rank is a derivation.

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The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: eess
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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: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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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: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol