Supported by the National Natural Science Foundation of China(Grant No.12271292)。
In this paper,we define the cohomology of a Reynolds Leibniz algebra with coefficients in a suitable representation.We also introduce the notion of Reynolds Leibniz 2-algebras,and prove that strict Reynolds Leibniz 2-...
Can distinct objects occupy the same region at the same time?If someone has not been exposed to professional philosophy,they would very likely reply,“No!If a statue is already there,of course I can't put my cellphone...
Compactness of subspaces of a Z2-graded vector space is introduced and used to study simple Leibniz superalgebras. We introduce left and right super-invariance of bilinear forms over superalgebras. Pseudo-q...
supported by the National Natural Science Foundation of China(Grant Nos.11961049,11601219).
In this paper,we study the structure of nonabelian omni-Lie algebroids.Firstly,taking Lie algebroid(E,[·,·]_(E,ρE))as the starting point,a nonabelian omni-Lie algebroid is defined on direct sum bundle DE⊕JE,where ...
A recursive method based on successive computations of perimeters of inscribed regular polygons for estimating π is formulated by employing the Pythagorean theorem alone without resorting to any trigonometric calcula...
Supported by the National Natural Science Foundation of China (Grant No. 12161013);the Key Project of Guizhou University of Finance and Economics (Grant No. 2022KYZD05)。
In this paper, we introduce the notion of the Hom-Leibniz-Rinehart algebra as an algebraic analogue of Hom-Leibniz algebroid, and prove that such an arbitrary split regular Hom-Leibniz-Rinehart algebra L is of the for...
The first author was supported by the National Science Foundation(grant number 1658672),USA.
We study the Leibniz n-algebra U_(n)(L),whose multiplication is defined via the bracket of a Leibniz algebra L as[x1,…,xn]=[x1,[…,[xn−2,[xn−1,xn]]…]].We show that U_(n)(L)is simple if and only if L is a simple Lie ...
supported by National Natural Science Foundation of China(Grant Nos.11171109 and 11801177);the Science and Technology Commission of Shanghai Municipality(Grant No.18dz2271000)。
We construct a class of C*-metric algebras. We prove that for a discrete group Γ with a 2-cocycle σ,the closure of the seminorm ||[Ml1,·]|| on Cc(Γ, σ) is a Leibniz Lip-norm on the twisted reduced group C*-algebr...