Some Features of Rank One Real Solvable Cohomologically Rigid Lie Algebras with a Nilradical Contracting onto the Model Filiform Lie Algebra Qn
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Rank One
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The generic structure and some peculiarities of real rank one solvable Lie algebras possessing a maximal torus of derivations with the eigenvalue spectrum spec ( t ) = 1 , k , k + 1 , ⋯ , n + k − 3 , n + 2 k − 3 for k ≥ 2 are analyzed, with special emphasis on the resulting Lie algebras for which the second Chevalley cohomology space vanishes. From the detailed inspection of the values k ≤ 5 , some series of cohomologically rigid algebras for arbitrary values of k are determined.
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2003 ◽
Vol 12
(05)
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pp. 589-604
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2009 ◽
Vol 19
(03)
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pp. 337-345
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1954 ◽
Vol 64
(2)
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pp. 200-208
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1984 ◽
Vol 36
(6)
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pp. 961-972
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2014 ◽
Vol 13
(04)
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pp. 1350144
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2013 ◽
Vol 12
(04)
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pp. 1250196
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