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A226951
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Number of filiform Lie algebras with a certain grading of dimension n over Z_2.
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1
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1, 1, 2, 4, 4, 6, 6, 10, 10, 16, 14, 20, 18, 26, 20, 32, 28, 36, 32, 44, 40, 56, 46, 56, 54, 74, 60, 82, 64, 84, 68, 86, 74, 100, 84, 106, 92, 114, 98, 126, 104, 126, 112, 138, 122, 156, 134, 152, 140, 170, 142, 172, 152, 194, 176, 188, 170, 222, 196, 232, 184
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OFFSET
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4,3
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COMMENTS
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Let G = <X_1,X_2,...,X_n> be a filiform Lie algebra of dimension n over Z_2. Define the grading [X_i,X_j]=c_(i,j)X_(i+j), for i,j >=2 for some constants c_(i,j) in Z_2. How many such algebras there exist on dimension n? The sequence gives us up to a point this numbers starting with dimension four, that is, there exists only one such an algebra with dimension four, 1 again with dimension 5, 2 with dimension 6 and so forth.
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LINKS
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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