Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restricted One-dimensional Central Extensions of the Restricted Filiform
  Lie Algebras ${\frak m}_0^\lambda(p)$   We show, for a field ${\mathbb F}$ of prime characteristic $p>0$, that the
truncated filiform Lie algebra ${\frak m}_0(p)$ admits a family ${\frak
m}_0^\lambda(p)$ of restricted Lie algebra structures parameterized by elements
$\lambda\in {\mathbb F}^p$. We compute the ordinary cohomology groups
$H^q({\frak m}_0^\lambda(p))$ and restricted cohomology groups $H^q_*({\frak
m}_0^\lambda(p))$ for $q=1, 2$, and we give explicit descriptions of bases for
these cohomology spaces. We apply our results to restricted one-dimensional
central Extensions of the algebras ${\frak m}_0^\lambda(p)$.

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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: econ
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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: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol