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Ancochea Bermúdez, José María and Campoamor Stursberg, Otto Ruttwig (2001) On Lie algebras whose nilradical is (n−p)-filiform. Communications in Algebra, 29 (1). pp. 427-450. ISSN 0092-7872
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Official URL: http://www.tandfonline.com/doi/pdf/10.1081/AGB-100000810
Abstract
We prove first that every (n − p)-filiform Lie algebra, p ≤ 3, is the nilradical of a solvable, nonnilpotent rigid Lie algebra. We also analize howthis result extends to (n − 4)-filiform Lie algebras. For this purpose, we give a classificaction of these algebras and then determine which of the obtained classes appear as the nilradical of a rigid algebra.
Item Type: | Article |
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Uncontrolled Keywords: | Rigid; p-filiform |
Subjects: | Sciences > Mathematics > Algebra |
ID Code: | 20948 |
Deposited On: | 19 Apr 2013 17:32 |
Last Modified: | 12 Dec 2018 15:13 |
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