Supported by the National Natural Science Foundation of China (10571119, 10671027, 11271056, 11271284), the Foundation of Jiangsu Educational Committee, the Fundamental Research Funds for the Central Universities and the Youth Scholars of Shanghai Higher Education Institutions (Gr~nt No.ZZHY14026).
In this paper, we study Leibniz algebras with a non-degenerate Leibniz- symmetric fl-invariant bilinear form B, such a pair (g, B) is called a quadratic Leibniz algebra. Our first result generalizes the notion of d...
the National Natural Science Foundation of China (Grant Nos. 10471091, 10671027);Foundation of Shanghai Education Committee (Grant No. 06FZ029);"One Hundred Talents Program" from University of Science and Technology of China
This paper provides a fast algorithm for Grobner bases of homogenous ideals of F[x, y] over a finite field F. We show that only the S-polynomials of neighbor pairs of a strictly ordered finite homogenours generating s...
the National Natural Science Foundation of China (Nos. 10471091, 10671027);the One Hundred Talents Program from University of Science and Technology of China
Lie bialgebra structures on a family of Lie algebras of Block type are shown to be triangular coboundary.
supported by the National Natural Science Foundation of China (Grant Nos. 10571119, 10671027)
Let V be a vertex operator superalgebra and m, n ∈ 1/2 ?+. We construct an A n (V)-A m (V)-bimodule A n,m (V) which characterizes the action of V from the level m subspace to level n subspace of an admissible V-modul...