supported by Huizhou University(Grant Nos.hzu202001 and 2021JB022);the Guangdong Provincial Department of Education(Grant Nos.2020KTSCX145 and 2021ZDJS080)。
We study the growth and the Gelfand-Kirillov dimension(GK-dimension)of the generalized Weyl algebra(GWA)A=D(σ,a),where D is a polynomial algebra or a Laurent polynomial algebra.Several necessary and sufficient condit...
On symplectic automorphisms of elliptic surfaces acting on CH0Jiabin Du&Wenfei Liu Abstract Let S be a complex smooth projective surface of Kodaira dimension one.We show that the group Auts(S) of symplectic automorphi...
supported by National Natural Science Foundation of China(Grant Nos.11971399 and 11771294);the Presidential Research Fund of Xiamen University(Grant No.20720210006)。
Let S be a complex smooth projective surface of Kodaira dimension one. We show that the group Auts(S) of symplectic automorphisms acts trivially on the Albanese kernel CH_(0)(S)albof the 0-th Chow group CH_(0)(S), unl...
The Lie algebra sl_(2)(C)may be regarded in a natural way as a subalgebra of the infinite-dimensional Virasoro Lie algebra,so it is natural to consider connections between the representation theory of the two algebras...
Supported by the National Science Foundation of China(Grant Nos.12061059 and 61763041)。
We find on a monoid M the complex-valued solutions f,g:M→C such that f is central and g is continuous of the functional equation f(xσ(y))+f(τ(y)x)=2f(x)g(y),x,y∈M,whereσ:M→M is an involutive automorphism andτ:M...
supported by National Natural Science Foundation of China(Grant No.11871333).
We give a complete classification of holomorphic endomorphisms of Hopf manifolds in dimensions two and three.In particular,we show that these endomorphisms are automorphisms except for the diagonal class,in which case...
We give a complete classification of holomorphic endomorphisms of Hopf manifolds in dimensions two and three.In particular,we show that these endomorphisms are automorphisms except for the diagonal class,in which case...
Characterizing regular covers of symmetric graphs is one of the fundamental topics in the field of algebraic graph theory, and is often a key step for approaching general symmetric graphs. Complete graphs, which are t...
supported by the National Natural Science Foundation of China(Grant No.11871292).
Let G be an extension of a finite characteristically simple group by an abelian group or a finite simple group.It is shown that every Coleman automorphism of G is an inner automorphism.Interest in such automorphisms a...