Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite Hochschild cohomology without finite global dimension   Dieter Happel asked the following question: If the $n$-th Hochschild
cohomology group of a finite dimensional algebra $\Gamma$ over a field vanishes
for all sufficiently large $n$, is the global dimension of $\Gamma$ finite? We
give a negative answer to this question.

4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an