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LIE: 作品数：646被引量：839H指数：14; 导出分析报告; 相关领域：理学更多>>; 相关作者：张毅梅凤翔梁景辉张建华李元成更多>>; 相关机构：陕西师范大学中国石油大学（华东）北京理工大学山西师范大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家教育部博士点基金陕西省自然科学基金河南省自然科学基金更多>>

Products of Commutator Ideals of Some Lie-admissible Algebras: 《Acta Mathematica Sinica,English Series》2024年第8期1875-1892,共18页Ivan KAYGORODOV Farukh MASHUROV Tran Giang NAM Ze Rui ZHANG; supported by FCT(Grant No.UIDB/00212/2020);FCT(Grant No.UIDP/00212/2020);supported by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan(Grant No.AP14869221);by“Tayelsizdik urpaqtary”MISD RK;partially supported by the Simons Foundation Targeted Grant for the Institute of Mathematics–VAST(Grant No.558672);by the Vietnam Institute for Advanced Study in Mathematics(VIASM);supported by the NNSF of China(Grant No.12101248);by the China Postdoctoral Science Foundation(Grant No.2021M691099)。; In this article,we mainly study the products of commutator ideals of Lie-admissible algebras such as Novikov algebras,bicommutative algebras,and assosymmetric algebras.More precisely,we first study the properties of t...; 关键词：Novikov algebra bicommutative algebra assosymmetric algebra Lie nilpotent algebra

Extending Structures for Gel'fand-Dorfman Bialgebras: 《Acta Mathematica Sinica,English Series》2024年第2期619-638,共20页Jia Jia WEN Yan Yong HONG; Supported by the National Natural Science Foundation of China(Grant Nos.12171129,11871421);the Zhejiang Provincial Natural Science Foundation of China(Grant No.LY20A010022);the Scientific Research Foundation of Hangzhou Normal University(Grant No.2019QDL012)。; Gel'fand-Dorfman bialgebra,which is both a Lie algebra and a Novikov algebra with some compatibility condition,appeared in the study of Hamiltonian pairs in completely integrable systems.They also emerged in the descr...; 关键词：Gel'fand-Dorfman bialgebra Lie conformal algebra Extending structures problem Novikovalgebra

On Blocks in Restricted Representations of Lie Superalgebras of Cartan Type: 《Acta Mathematica Sinica,English Series》2020年第9期1061-1075,共15页Fei Fei DUAN Bin SHU Yu Feng YAO; supported by the National Natural Science Foundation of China(Grant Nos.11601116;11671138 and 11771279);Shanghai Key Laboratory of PMMP(Grant No.13dz2260400);the Scientific Research Foundation of Hebei Education Department(Grant No.QN2017090);the Doctoral Foundation of Hebei Normal University(Grant No.L2016B02);We thank the referees for their helpful comments.; Let g be a restricted Lie superalgebra of Cartan type W(n),S(n)or H(n)over an alge-braically closed field k of prime characteristic p>3,in the sense of modular version of Kac's definition in 1977.In this note,we show ...; 关键词：LIE SUPERALGEBRA of CARTAN TYPE RESTRICTED representation block

Leibniz Conformal Algebras of Rank Two: 《Acta Mathematica Sinica,English Series》2020年第2期109-120,共12页Zhi Xiang WU; Supported by ZJNSF(Grant No.LY17A010015);NNSFC(Grant No.11871421); We classify all Leibniz conformal algebras of rank two.; 关键词：Leibniz pseudoalgebra Lie conformal algebra Hopf algebra

Dual Lie Bialgebra Structures of W-algebra W(2, 2) Type: 《Acta Mathematica Sinica,English Series》2019年第10期1696-1714,共19页Guang Ai SONG Yu Cai SU Xiao Qing YUE; Supported by NSF grant of China and NSF grant of Shandong Province(Grant Nos.11431010,11671056,ZR2013AL013 and ZR2014AL001); In the present paper, we investigate the dual Lie coalgebras of the centerless W(2,2) algebra by studying the maximal good subspaces. Based on this, we construct the dual Lie bialgebra structures of the centerless W(2...; 关键词：W(2 2) ALGEBRA LIE BIALGEBRA LIE COALGEBRA DUAL LIE BIALGEBRA maximal good subspace

A Note on Asymptotic Class Number Upper Bounds in p-adic Lie Extensions: 《Acta Mathematica Sinica,English Series》2019年第9期1481-1490,共10页Meng Fai LIM; Supported by National Natural Science Foundation of China(Grant Nos.11550110172 and 11771164); Let p be an odd prime and F∞ a p-adic Lie extension of a number field F with Galois group G. Suppose that G is a compact pro-p p-adic Lie group with no torsion and that it contains a closed normal subgroup H such tha...; 关键词：Iwasawa ASYMPTOTIC class number FORMULA P-ADIC LIE extension ■ H(G)-property

2-Local Automorphisms on Basic Classical Lie Superalgebras: 《Acta Mathematica Sinica,English Series》2019年第3期427-437,共11页Li YU Ying WANG Hai Xian CHEN Ji Zhu NAN; supported by the National Natural Science Foundation of China(Grant No.11471090); Let G be a basic classical Lie superalgebra except A(n, n) and D(2, 1, α) over the complex number field C. Using existence of a non-degenerate invariant bilinear form and root space decomposition, we prove that every...; 关键词：Basic CLASSICAL LIE SUPERALGEBRA 2-local AUTOMORPHISM AUTOMORPHISM

Quadratic Lie Superalgebras Generalized by Balinsky–Novikov Superalgebras: 《Acta Mathematica Sinica,English Series》2019年第2期213-226,共14页Yi TAO Zhi Qi CHEN Yan WANG; Supported by National Natural Science Foundation of China(Grant No.11401425); Balinsky–Novikov superalgebras were introduced by Balinsky for constructing super-Virasoro type Lie superalgebras. In this paper, we give sufficient and necessary conditions for a Lie superalgebra generalized by a Ba...; 关键词：Balinsky-Novikov SUPERALGEBRA LIE SUPERALGEBRA QUADRATIC LIE SUPERALGEBRA

Restricted Lie 2-algebras: 《Acta Mathematica Sinica,English Series》2018年第6期933-946,共14页Yan TAN Zhi Xiang WU; Supported by ZJNSF(Grant Nos.LY17A010015 and LZ14A010001);NNSF(Grant No.11171296); In this article, we introduce the notions of restricted Lie 2-algebras and crossed modules of restricted Lie algebras, and give a series of examples of restricted Lie 2-algebras. We also construct restricted Lie 2-alg...; 关键词：Restricted Lie 2-algebra crossed module of restricted Lie algebra A（m）-algebra restricted Leibniz algebra restricted right-symmetric algebra

Hom-Gel'fand–Dorfman Super-bialgebras and Hom-Lie Conformal Superalgebras被引量：1: 《Acta Mathematica Sinica,English Series》2017年第1期96-116,共21页La Mei YUAN Sheng CHEN Cai Xia HE; Supported by National Natural Science Foundation grants of China(Grant No.11301109);the Research Fund for the Doctoral Program of Higher Education(Grant No.20132302120042); The aim of this paper is to introduce and study Hom-Gel＇fand-Dorfman super-bialgebras and Hom-Lie conformal superalgebras. In this paper, we provide different ways for constructing Hom- Gel＇fand-Dorfman super-bialge...; 关键词：Lie conformal superalgebra Horn-Lie superalgebra Hom-Lie conformal superalgebra Hom-Gel＇fand-Dorfman super-bialgebra

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