ترغب بنشر مسار تعليمي؟ اضغط هنا

$n$-ary algebras of the first level

117   0   0.0 ( 0 )
 نشر من قبل Yury Volkov
 تاريخ النشر 2019
  مجال البحث
والبحث باللغة English
 تأليف Yury Volkov




اسأل ChatGPT حول البحث

$n$-ary algebras of the first degeneration level are described. A detailed classification is given in the cases $n=2,3$.



قيم البحث

اقرأ أيضاً

166 - Jun Zhao , Liangyun Chen 2015
In this paper, we define $omega$-derivations, and study some properties of $omega$-derivations, with its properties we can structure a new $n$-ary Hom-Nambu algebra from an $n$-ary Hom-Nambu algebra. In addition, we also give derivations and representations of $n$-ary Hom-Nambu algebras.
In the present paper, we prove that every local and $2$-local derivation of the complex finite-dimensional simple Filippov algebra is a derivation. As a corollary we have the description of all local and $2$-local derivations of complex finite-dimens ional semisimple Filippov algebras. All local derivations of the ternary Malcev algebra $M_8$ are described. It is the first example of a finite-dimensional simple algebra that admits pure local derivations, i.e. algebra admits a local derivation which is not a derivation.
We present $PL_{infty}$-algebras in the form of composition of maps and show that a $PL_{infty}$-algebra $V$ can be described by a nilpotent coderivation on coalgebra $P^*V$ of degree $-1$. Using coalgebra maps among $T^*V$, $wedge^*V$, $P^*V$, we sh ow that every $A_{infty}$-algebra carries a $PL_{infty}$-algebra structure and every $PL_{infty}$-algebra carries an $L_{infty}$-algebra structure. In particular, we obtain a pre Lie $n$-algebra structure on an arbitrary partially associative $n$-algebra and deduce pre Lie $n$-algebras are $n$-Lie admissible.
In the present paper we obtain the list of algebras, up to isomorphism, such that closure of any complex finite-dimensional algebra contains one of the algebra of the given list.
This paper is devoted to the description of complex finite-dimensional algebras of level two. We obtain the classification of algebras of level two in the varieties of Jordan, Lie and associative algebras.
التعليقات
جاري جلب التعليقات جاري جلب التعليقات
سجل دخول لتتمكن من متابعة معايير البحث التي قمت باختيارها
mircosoft-partner

هل ترغب بارسال اشعارات عن اخر التحديثات في شمرا-اكاديميا