{"product_id":"classification-of-first-class-of-complex-filiform-leibniz-algebras-von-sozan-j-obaiys-isamiddin-s-r-und-kamel-a-m-atan","title":"CLASSIFICATION OF FIRST CLASS OF COMPLEX FILIFORM LEIBNIZ ALGEBRAS","description":"\u003cp\u003eLeibniz algebras were introduced by J.-L.Loday. A  skew-symmetric Leibniz algebra is a Lie algebra. In this case the Leibniz identity is just  the Jacobi identity. This book is devoted to the classification problem  of Leibiz algebra in low dimensional cases. There  are two sources to get such a classification. The  first of them is naturally graded non Lie filiform  Leibniz algebras and the other is the naturally  graded filiform Lie algebras. Here we consider  Leibniz algebras appearing from the naturally graded  non Lie filiform Leibniz algebras. It is known that this class of algebras can be split  into two subclasses. However, isomorphisms within  each class have not been investigated yet. Recently U.D.Bekbaev and I.S.Rakhimov suggested an approach  to the isomorphism problem of Leibniz algebras based  on algebraic invariants. This book presents an  implementation of this invariant approach in 9- dimensional case. We give the list of all 9- dimensional non Lie filiform Leibniz algebras arising from the naturally graded non Lie  filiform Leibniz algebras. The isomorphism criteria and the list of algebraic  invariants will be given.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783838321684\"\u003e\u003ch3\u003eCLASSIFICATION OF FIRST CLASS 9-DIMENSIONAL COMPLEX FILIFORM LEIBNIZ ALGEBRAS\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783838321684","offer_id":39469195493469,"sku":"9783838321684","price":68.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/588ddfe2-77c4-4527-8f2a-91bac0a7839e.jpg?v=1759036924","url":"https:\/\/shop.autorenwelt.de\/products\/classification-of-first-class-of-complex-filiform-leibniz-algebras-von-sozan-j-obaiys-isamiddin-s-r-und-kamel-a-m-atan","provider":"Autorenwelt Shop","version":"1.0","type":"link"}