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COHOMOLOGY: 作品数：124被引量：100H指数：6; 导出分析报告; 相关领域：理学更多>>; 相关作者：王圣祥周建华杨森更多>>; 相关机构：东南大学滁州学院浙江大学更多>>; 相关期刊：《Chinese Physics Letters》《Peking Mathematical Journal》《Communications in Computational Physics》《Acta Mathematica Scientia》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

The First Cohomology of osp(1,2)with Coefficients in Baby Verma Modules and Simple Modules: 《Algebra Colloquium》2023年第4期599-614,共16页Shujuan Wang Wende Liu; This work is supported by Heilongjiang Provincial Natural Science Foundation of China(YQ2020A005);Natural Science Foundation of China(12061029).; Over a field of characteristic p>0,the first cohomology of the orthogonal symplectic Lie superalgebra osp(1,2)with coefficients in baby Verma modules and simple modules is determined by use of the weight space decompo...; 关键词：orthogonal symplectic Lie superalgebras baby Verma modules simple modules COHOMOLOGY

Cohomology of Associative H-Pseudoalgebras: 《Algebra Colloquium》2023年第4期541-554,共14页José I.Liberati; The author was supported by a grant by Conicet,Consejo Nacional de Investigaciones Cientificas y Técnicas(Argentina).Special thanks to my teacher Victor Kac.; We define the cohomology of associative H-pseudoalgebras,and we show that it describes module extensions,abelian pseudoalgebra extensions,and pseudoalgebra first-order deformations.The same results for the special cas...; 关键词：associative pseudoalgebra associative conformal algebra COHOMOLOGY

The Multiplier and Cohomology of Lie Superalgebras: 《Algebra Colloquium》2023年第3期371-384,共14页Yang Liu Wende Liu; The first author(Y.Liu)was supported by the NSF of Heilongjiang Province of China(YQ2020A005);The second author(W.D.Liu)was supported by the NSF of China(12061029);the NSF of Hainan Province of China(120RC587).; Suppose that L is a Lie superalgebra over a field F of characteristic different from 2 and 3.In this paper,the so-called 5-sequence of cohomology for a central extension of L is constructed and is proved to be exact.M...; 关键词：MULTIPLIER COHOMOLOGY 5-sequence

Representations of Bihom-Lie Algebras被引量：5: 《Algebra Colloquium》2022年第1期125-142,共18页Yongsheng Cheng Huange Qi; Supported by the National Science Foundation of China(Nos.11047030 and 11771122).; A Bihom-Lie algebra is a generalized Hom-Lie algebra endowed with two commuting multiplicative linear maps.In this paper,we study representations of Bihom-Lie algebras.In particular,derivations,central extensions,deri...; 关键词：Bihom-Lie algebras DERIVATIONS COHOMOLOGY representations of Bihom-Lie algebras

Complete Cohomology for Extriangulated Categories: 《Algebra Colloquium》2021年第4期701-720,共20页Jiangsheng Hu Dongdong Zhang Tiwei Zhao Panyue Zhou; supported by the NSF of China(11671069,11771212);Qing Lan Project of Jiangsu Province and Natural Science Foundation of Jiangsu Province(BK20211358);supported by the NSF of China(11971225,11901341);Shandong Provincial Natural Science Foundation(ZR2019QA015);supported by the National Natural Science Foundation of China(11901190,11671221);the Hunan Provincial Natural Science Foundation of China(2018JJ3205);the Scientific Research Fund of Hunan Provincial Education Department(19B239).; Let(C,E,s)be an extriangulated category with a proper classξof E-triangles.We study complete cohomology of objects in(C,E,s)by applyingξ-projective resolutions andξ-injective coresolutions constructed in(C,E,s).Van...; 关键词：complete cohomology extriangulated category proper class Gorenstein projective dimension

Cohomology of Lie Conformal Algebra Vir× Cur g: 《Algebra Colloquium》2021年第3期507-520,共14页Maosen Xu Yan Tan Zhixiang Wu; The work was sponsored by ZJNSF(No.LY17A010015);NNSFC(No.11871421).; In this article,we compute cohomology groups of the semisimple Lie conformal algebra S=Vir × Cur g with coefficients in its irreducible modules for a finite-dimensional simple Lie algebra g.; 关键词：Lie conformal algebra COHOMOLOGY conformal module

Homology and Cohomology of the Super Schrodinger Algebra 5(1/1)with Coefficients in the Trivial Module: 《Algebra Colloquium》2019年第4期615-628,共14页Yan He Yuezhu Wu Linsheng Zhu Jiping Zhang; In this paper we study the homology and cohomology groups of the super Schrodinger algebra S(1/1)in(1+l)-dimensional spacetime.We explicitly compute the homology groups of S(1/1)with coefficients in the trivial module...; 关键词：super Schrodinger algebra HOMOLOGY COHOMOLOGY

Relative Canonical Modules and Some Duality Results: 《Algebra Colloquium》2019年第2期351-360,共10页Majid Rahro Zargar; Let (R, m) be a relative Cohen–Macaulay local ring with respect to an ideal a of R and set c to be ht a. We investigate some properties of the Matlis dual of the R-module H^ca(R), and we show that such modules behave...; 关键词：local COHOMOLOGY CANONICAL MODULE complex RELATIVE COHEN-MACAULAY MODULE

Cup-Product for Equivariant Leibniz Cohomology and Zinbiel Algebras: 《Algebra Colloquium》2019年第2期271-284,共14页Goutam Mukherjee Ripan Saha; We study finite group actions on Leibniz algebras, and define equivariant cohomology groups associated to such actions. We show that there exists a cup-product operation on this graded cohomology, which makes it a gra...; 关键词：group action LEIBNIZ ALGEBRA EQUIVARIANT COHOMOLOGY Zinbiel ALGEBRA

On Rigid 2-Step Nilpotent Lie Algebras被引量：1: 《Algebra Colloquium》2018年第2期349-360,共12页Maria Alejandra Alvarez; In this note we consider 2-step nilpotent Lie algebras and give a criterion for the rigidity of this class in the variety N2n of 2-step nilpotent Lie algebras of dimension n. We apply this criterion to prove that ever...; 关键词：nilpotent Lie algebras variety of Lie algebras deformations cohomology nilradicals

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