Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nilpotent Lie algebras having the Schur multiplier of maximum dimension   Let $ L $ be an $ n $-dimensional nilpotent Lie algebra of nilpotency class $
c $ with the derived subalgebra of dimension $ m $. Recently, Rai proved that
the dimension of Schur multiplier of $ L $ is bounded by $
\frac{1}{2}(n-m-1)(n+m)-\sum\limits_{i=2}^ {min\lbrace n-m,c\rbrace} n-m-i $.
In this paper, we obtain the structure of all nilpotent Lie algebras that
attain this bound.

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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: stat