AUTOMORPHISM

作品数:123被引量:98H指数:6
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相关领域:理学更多>>
相关作者:庞雅丽唐剑雄刘伟俊更多>>
相关机构:广西师范大学北京师范大学安徽师范大学中南大学更多>>
相关期刊:《Algebra Colloquium》《Chinese Physics B》《Science Bulletin》《Progress in Natural Science:Materials International》更多>>
相关基金:国家自然科学基金国家教育部博士点基金河北省自然科学基金中国博士后科学基金更多>>
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Growth of generalized Weyl algebras over polynomial algebras and Laurent polynomial algebras Dedicated to Professor Yuqun Chen on the Occasion of His 65th Birthday
《Science China Mathematics》2023年第5期887-906,共20页Xiangui Zhao 
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...
关键词:Gelfand-Kirillov dimension generalized Weyl algebra polynomial automorphism 
本刊英文版2023年66卷第3期(443–664)摘要(英文)
《中国科学:数学》2023年第3期I0001-I0004,共4页
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...
关键词:AUTOMORPHISM SYMPLECTIC TRIVIAL 
On symplectic automorphisms of elliptic surfaces acting on CH_(0)
《Science China Mathematics》2023年第3期443-456,共14页Jiabin Du Wenfei Liu 
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...
关键词:symplectic automorphism elliptic surface Chow group 
A Class of Association Schemes and Their Automorphisms
《Algebra Colloquium》2022年第3期361-374,共14页Changli Ma Shuxia Liu Yanan Feng Yang Zhang Liwei Zeng 
supported by NSFC(No.12171139,No.11701140,No.11771119);Foundation of Hebei Province of China(No.A2018205168,No.A2019210223,No.QN2020196).
In this paper,we construct a class of association schemes by using pairs of subspaces of vector spaces and determine their full automorphism groups.
关键词:association scheme AUTOMORPHISM relation graph 
The Restriction of Polynomial Modules for the Virasoro Algebra to sl_(2)(C)
《Algebra Colloquium》2022年第3期491-508,共18页Matthew Ondrus Emilie Wiesner 
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...
关键词:Virasoro algebra induced modules automorphism twists 
A New Variant of Wilson's Functional Equation on Monoids
《Acta Mathematica Sinica,English Series》2022年第8期1303-1316,共14页Hajira DIMOU Elhoucien ELQORACHI Abdellatif CHAHBI 
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...
关键词:MONOID functional equation d'Alembert's equation involutive automorphism multiplicative function anti-automorphism 
Classification of holomorphic endomorphisms of Hopf manifolds被引量:1
《Science China Mathematics》2022年第4期665-706,共42页Feng Rong 
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...
关键词:Hopf manifold holomorphic endomorphism AUTOMORPHISM 
本刊英文版2022年65卷第4期(665–886)摘要(英文)
《中国科学:数学》2022年第4期I0001-I0003,共3页
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...
关键词:DIAGONAL DIMENSIONS AUTOMORPHISM 
Edge-Transitive Cyclic Covers of Complete Graphs with Prime Power Order
《Journal of Applied Mathematics and Physics》2022年第2期289-300,共12页Zhaohong Huang Yin Liu 
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...
关键词:COVER Complete Graph Normal Quotient Graph AUTOMORPHISM 
Coleman Automorphisms of Extensions of Finite Characteristically Simple Groups by Some Finite Groups
《Algebra Colloquium》2021年第4期561-568,共8页Jinke Hai Lele Zhao 
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...
关键词:characteristically simple group Coleman automorphism normalizer property 
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