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
Algebraic and geometric properties of lattice walks with steps of equal length
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DOI: 10.1017/s0004972716000836
Abstract: A lattice walk with all steps having the same length $d$ is called a $d$ -walk. Denote by ${\mathcal{T}}_{d}$ the terminal set, that is, the set of all lattice points that can be reached from… read more here.
Keywords: lattice walks; properties lattice; algebraic geometric; walks steps ... See more keywords
An Algebraic-Geometric Approach for Linear Regression Without Correspondences
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DOI: 10.1109/tit.2020.2977166
Abstract: Linear regression without correspondences is the problem of performing a linear regression fit to a dataset for which the correspondences between the independent samples and the observations are unknown. Such a problem naturally arises in… read more here.
Keywords: regression; geometric approach; algebraic geometric; regression without ... See more keywords