On the Schur multipliers of Lie superalgebras of maximal class

التفاصيل البيبلوغرافية
العنوان: On the Schur multipliers of Lie superalgebras of maximal class
المؤلفون: Rostami, Z. Araghi, Niroomand, P.
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Rings and Algebras, Mathematics - Commutative Algebra, 17B01, 17B05
الوصف: Let $L$ be a non-abelian nilpotent Lie superalgebra of dimensiom $(m|n)$. Nayak shows there is a non-negative $s(L)$ such that $s(L)=\frac{1}{2}(m+n-2)(m+n-1)+n+1-\dim{\mathcal{M}(L)}$. Here we intend that classify all non-abelian nilpotent Lie superalgebras, when $1\leq s(L)\leq 10$. Moreover, we classify the structure of all Lie superalgebras of dimension at most $5$ such that $\dim {L^2}=\dim {\mathcal{M}(L)}$.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2309.05415
رقم الأكسشن: edsarx.2309.05415
قاعدة البيانات: arXiv