Classification of a subclass of filiform Leibniz algebra

Classification of a subclass of filiform Leibniz algebra

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This Book centers on isomorphism classes and invariants of a subclass of filiform Leibniz algebras over complex field. The subclass of filiform Leibniz algebras considered arises from naturally graded filiform Lie algebras. It has been denoted by TLbn in a fixed dimension n. It is noted that n-dimensional filiform Lie algebras are in TLbn. The intent with this book is to show explicitly steps taken to find the classification of third class of filiform Leibniz algebras in dimensions 7 and 8. The classification is carried out by first choosing adapted basis, then construct appropriate multiplica...