A Computer-Based Approach to the Classification of Nilpotent Lie Algebras
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Publication:5709301
DOI10.1080/10586458.2005.10128917zbMath1093.17004arXivmath/0406365OpenAlexW2059696939MaRDI QIDQ5709301
Publication date: 29 November 2005
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0406365
Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30)
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The classification of \(p\)-nilpotent restricted Lie algebras of dimension at most 4 ⋮ Minimal algebras and 2-step nilpotent Lie algebras in dimension 7 ⋮ Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2 ⋮ Isomorphism and isotopism classes of filiform Lie algebras of dimension up to seven over finite fields ⋮ Five-dimensional \(p\)-nilpotent restricted Lie algebras over algebraically closed fields of characteristic \(p > 3\) ⋮ Nilpotent Lie algebras with two centralizer dimensions over a finite field ⋮ Six-dimensional nilpotent Lie algebras ⋮ The isomorphism problem for universal enveloping algebras of nilpotent Lie algebras ⋮ Computing automorphism groups and testing isomorphisms for modular group algebras. ⋮ Some new simple Lie algebras in characteristic 2 ⋮ The classification of 5-dimensional \(p\)-nilpotent restricted Lie algebras over perfect fields. I. ⋮ Coclass Theory for Finite Nilpotent Associative Algebras: Algorithms and a Periodicity Conjecture ⋮ Sophus
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