The algebraic and geometric classification of nilpotent right alternative algebras
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DOI: 10.1007/s10998-021-00386-x
Abstract: We present algebraic and geometric classifications of the 4-dimensional complex nilpotent right alternative algebras. Specifically, we find that, up to isomorphism, there are only 9 non-isomorphic nontrivial nilpotent right alternative algebras. The corresponding geometric variety… read more here.
Keywords: right alternative; algebraic geometric; nilpotent right; alternative algebras ... See more keywords
The algebraic and geometric classification of nilpotent anticommutative algebras
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2020.106337
Abstract: Abstract We give algebraic and geometric classifications of 6-dimensional complex nilpotent anticommutative algebras. Specifically, we find that, up to isomorphism, there are 14 one-parameter families of 6-dimensional nilpotent anticommutative algebras, complemented by 130 additional isomorphism… read more here.
Keywords: algebraic geometric; anticommutative algebras; nilpotent anticommutative; geometric classification ... See more keywords
Geometric classification of semidirect products in the maximal parabolic subgroup of Sp(2, ℝ)
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DOI: 10.1142/s0219530515500256
Abstract: We classify up to conjugation by GL(2, ℝ) (more precisely, block diagonal symplectic matrices) all the semidirect products inside the maximal parabolic of Sp(2, ℝ) by means of an essentially geometric argument. This classification has… read more here.
Keywords: classification; maximal parabolic; semidirect products; products maximal ... See more keywords