On the classification of 3-dimensional complex hom-Lie algebras
نویسندگان
چکیده
Let hom-Ln(C) be the algebraic set of complex n-dimensional hom-Lie algebras. The group GL(n,C) acts on it via change basis. We classify structures with nilpotent twisting map 3-dimensional Lie algebras, up to isomorphism, and we give classification orbit closures in such family. For this purpose, introduce some invariants algebras study both problems. ideas techniques presented here can easily extrapolated similar problems other linear structures.
منابع مشابه
the structure of lie derivations on c*-algebras
نشان می دهیم که هر اشتقاق لی روی یک c^*-جبر به شکل استاندارد است، یعنی می تواند به طور یکتا به مجموع یک اشتقاق لی و یک اثر مرکز مقدار تجزیه شود. کلمات کلیدی: اشتقاق، اشتقاق لی، c^*-جبر.
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2023
ISSN: ['1873-1376', '0022-4049']
DOI: https://doi.org/10.1016/j.jpaa.2022.107272