基本信息科学研究教育教学论文专著学术交流
基本信息
袁腊梅，女，汉族，1982年出生，副教授，硕士生导师

先后主持承担国家自然科学基金青年基金项目、教育部博士点新教师类项目、中国博士后基金项目以及哈工大校内基金项目。

教育经历
2008年-2011年, 中国科学技术大学, 研究生/博士2006年-2008年, 哈尔滨工业大学，研究生/硕士2002年-2008年，东北师范大学，本科/学士


工作经历
时间工作经历
2011年7月--2018年4月哈尔滨工业大学 基础与交叉科学研究院理学研究中心
2018年5月---至今 哈尔滨工业大学 理学院 数学系


发表论文 (2014年起)
[1] Y. Su, C. Xia, L. Yuan, Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type, J. Algebra 2018, 499:321--336.

[2] J. Zhao, L. Yuan, L. Chen, Deformations and Generalized derivations of Hom-Lie conformal algebras, Science China Math. 2018, 61(5) :797--812.

[3] H. Wu, L.Yuan, Classification of finite irreducible conformal modules over some Lie conformal algebras related to the Virasoro conformal algebra, J. Math. Phys. 2017, 58:041701.

[4] K.Ling, L.Yuan, Extensions of modules of the Henseiberg-Virasoro conformal algebra, Int. J. Math. 2017, 5:**.

[5] J. Zhao,L.Chen, L. Yuan, Deformaitons and generalized derivations of Lie conformal superalgebras,J.Math.Phys. 2017, 58:111702.

[6] L.Yuan, C. He, Lie superbialgebra and quantization of the super Virasoro algebra, J. Math. Phys. 2016, 57(5): 053508.

[7] L.Yuan, H.Wu, Sreuctures of W(2,2) Lie conformal algebra, Open Math. 2016, 14: 629--640.

[8] L. Yuan, H. Wu, Cohomology of the Heisenber-Virasoro conformal algebra, J. Lie Theory, 2016, 26(4):1187--1197.

[9] L.Yuan, S. Chen, C. He, Hom-Gel@#%fand-Dorfman Super-bialgebras and Hom-Lie conformal superalgebras, Acta Math. Sinica, English Series, 2017, 33(1): 96--116.

[10] L. Yuan, Hom-Gel@#%fand-Dorfman bialgebras and Hom-Lie conformal algebras, J. Math. Phys. 2014, 55:043507.

[11] L. Yuan, H. You, Low-dimensional cohomology of Hom-Lie algebras and q-deformed W(2,2) algebra, Acta Math. Sinica, English Seres, 2014, 30(6): 1073--1082.











研究领域
李理论 主要研究方向: 李（超）代数、李共形（超）代数、Hom-代数的结构及其表示。

科研项目

项目名称一些非单李共形（超）代数的结构、表示和形变,

项目来源国家自然科学基金

开始时间2014-01-01

结束时间2016-12-01

项目经费23万

担任角色负责
项目类别纵向项目
项目状态完成


项目名称几类非单李共形代数的表示和形变理论,

项目来源国家教育部项目

开始时间2014-01-01

结束时间2016-12-01

项目经费4万

担任角色负责
项目类别纵向项目
项目状态完成


项目名称几类Hom-代数的结构与表示

项目来源中国博士后基金

开始时间2012-05-01

结束时间2014-12-01

项目经费5万

担任角色负责
项目类别纵向项目
项目状态完成

讲授课程
交换代数 简介: 研究生学位课线性代数与解析几何 简介: 本科生基础课


招生信息
招收基础数学专业硕士研究生，目前 在读2人。




教育经历
2002年-2006年， 东北师范大学，数学系2006年-2008年,，哈尔滨工业大学，数学系2008年-2011年，中国科学技术大学，数学系


出版物

出版物名称抽象代数3----交换代数

作者孟道冀， 王立云， 袁腊梅*

出版时间,完成时间2016-01-01

出版社科学出版社

简单介绍交换代数是以含幺交换环为主要研究对象的一门代数学科。它的产生和发展的背景是代数数论和代数几何，同时它又为这两个数学分支提供了统一的新工具。


发表论文

论文标题Deformations and generalized derivations of Hom-Lie conformal algebras

作者Juan Zhao, Lamei Yuan, Liangyun Chen

期刊名称Science China Math.

期卷Vol. 61 No. 5: 797--812

简单介绍The purpose of this paper is to extend the cohomology and conformal derivation theories of theclassical Lie conformal algebras to Hom-Lie conformal algebras. In this paper, we develop cohomology theoryof Hom-Lie conformal algebras and discuss some applications to the study of deformations of regular Hom-Lieconformal algebras. Also, we introduce u000Bk-derivations of multiplicative Hom-Lie conformal algebras and studytheir properties.


论文标题Classification of finite irreducible conformal modules over aclass of Lie conformal algebras of Block type

作者Yucai Su, Chunguang Xia, Lamei Yuan

期刊名称J. Algebra

期卷499, 321--336

简单介绍We classify finite irreducible conformal modules over a class of infinite Lie conformal algebras B(p)of Block type, where pis a nonzero complex number. In particular, we obtain that a finite irreducible conformal module over B(p)may be a nontrivial extension of a finite conformal module over Virif p =？1, where Viris a Virasoro conformal subalgebra of B(p). As a byproduct, we also obtain the classification of finite irreducible conformal modules over a series of finite Lie conformal algebras b(n)for n ≥1.


论文标题Deformations and generalized derivations of Lie conformal superalgebras

作者Jun Zhao, Liangyun Chen, Lamei Yuan

期刊名称J. Math. Phys.

期卷58, 111702 (2017)

简单介绍In this paper, we study deformations and generalized derivations of Lie conformalsuperalgebras. First, we study conformal derivations of the semidirect product of a Lieconformal superalgebra and its conformal module. Second, we extend the cohomologytheory of Lie conformal algebras to the super case and discuss some applicationsto deformations of Lie conformal superalgebras. Finally, we introduce generalizedderivations of Lie conformal superalgebras and study their properties.


论文标题Classification of finite irreducible conformal modules over some Lie conformal algebras related to the Virasoro conformal algebra

作者Henan Wu

期刊名称J. Math. Phys.

期卷58, 041701 (2017)

简单介绍In this paper, we classify all finite irreducible conformal modules over a class of Lieconformal algebrasW(b) with b 2 Crelated to theVirasoro conformal algebra. Explicitly,any finite irreducible conformal module overW(b) is proved to be isomorphicto Mu0001,u000B,f with u0001 , 0 or f , 0 if b = 0, or Mu0001,u000B with u0001 , 0 if b , 0. As a byproduct, allfinite irreducible conformal modules over the Heisenberg-Virasoro conformal algebraand the W(2, 2) Lie conformal algebra are classified. Finally, the same thing isdone for the Schr¨odinger-Virasoro conformal algebra. Published


论文标题Extensions of modules over the Heisenberg–Virasoro conformal algebra

作者Kaijing Ling, Lamei Yuan

期刊名称International Journal of Mathematics

期卷Vol. 28, No. 5 (2017) **

简单介绍In this paper, extensions between finite conformal modules over the Heisenberg–Virasoro conformal algebra are classified.


论文标题Hom-Gel’fand–Dorfman Super-bialgebras and Hom-Lie Conformal Superalgebras

作者Lamei Yuan, Sheng Chen, Caixia He

期刊名称Acta Mathematica Sinica, English Series

期卷Vol. 33, No. 1, pp. 96–116

简单介绍The aim of this paper is to introduce and study Hom-Gel’fand–Dorfman super-bialgebrasand Hom-Lie conformal superalgebras. In this paper, we provide different ways for constructing Hom-Gel’fand–Dorfman super-bialgebras. Also, we obtain some infinite-dimensional Hom-Lie superalgebrasfrom affinization of Hom-Gel’fand–Dorfman super-bialgebras. Finally, we give a general construction ofHom-Lie conformal superalgebras from Hom-Lie superalgebras and establish the equivalence betweenquadratic Hom-Lie conformal superalgebras and Hom-Gel’fand–Dorfman super-bialgebras.


论文标题Structures of W(2,2) Lie conformal algebra

作者Lamei Yuan, Henan Wu

期刊名称OpenMath.

期卷2016; 14: 629–640

简单介绍The purpose of this paper is to study W.2; 2/ Lie conformal algebra, which has a free C？@？-basis fL;Mgsuch that ？Lu0015L？ D .@ C 2u0015/L, ？Lu0015M？ D .@ C 2u0015/M, ？Mu0015M？ D 0. In this paper, we study conformal derivations,central extensions and conformal modules for this Lie conformal algebra. Also, we compute the cohomology ofthis Lie conformal algebra with coefficients in its modules. In particular, we determine its cohomology with trivialcoefficients both for the basic and reduced complexes.


论文标题Cohomology of the Heisenberg-Virasoro Conformal Algebra

作者Lamei Yuan, Henan Wu

期刊名称J. Lie Theory

期卷26 (2016) 1187{1197

简单介绍We compute the cohomology groups of the Heisenberg-Virasoroconformal algebra with coeu000Ecients in its modules C;Ca and Mu0001;u000B;f . In par-ticular, we completely determine the cohomology groups with trivial coeu000Ecientsboth for the basic and reduced complexes.


论文标题Lie super-bialgebra and quantization of the super Virasoro algebra

作者Lamei Yuan, Caixia He

期刊名称J. Math. Phys.

期卷57, 053508 (2016);

简单介绍In this paper, we study Lie super-bialgebra and quantization of the super Virasoroalgebra, whose even part is the centerless twisted Heisenberg-Virasoro algebra. Byusing some Liu-Pei-Zhu’s results, we prove that all Lie super-bialgebra structureson the super Virasoro algebra are triangular coboundary. Furthermore, we quantizethe super Virasoro algebra by the Drinfel’d twist quantization technique and obtain aclass of noncommutative and noncocommutative Hopf superalgebras.


论文标题Super Hom-Gel’fand-Dorfman bialgebras and Hom-Lie conformal superalgebras

作者Lamei Yuan, Sheng Chen, Caixia He

期刊名称http://www.paper.edu.cn

简单介绍The purpose of this paper is to introduce and study super Hom-Gel’fand-Dorfmanbialgebras and Hom-Lie conformal superalgebras. In this paper, different ways forconstructing super Hom-Gel’fand-Dorfman bialgebras are provided and a class ofinfinite-dimensional Hom-Lie superalgebras from affinization of super Hom-Gel’fand-Dorfmanbialgebras are obtained. Also, a general construction of Hom-Lie conformal superalgebrasfrom Hom-Lie superalgebras is given and equivalence of quadratic Hom-Lie conformalsuperalgebras and super Hom-Gel’fand-Dorfman bialgebras is established. Finally,one-dimensional central extensions of quadratic Hom-Lie conformal superalgebras are studied.


论文标题Hom Gel@#%fand-Dorfman bialgebras and Hom-Lie conformal algebras

作者Lamei Yuan

期刊名称JOURNAL OF MATHEMATICAL PHYSICS

期卷55, 043507

简单介绍The aim of this paper is to introduce the notions of Hom Gel’fand-Dorfman bialgebraand Hom-Lie conformal algebra. In this paper, we give four constructions of HomGel’fand-Dorfman bialgebras. Also, we provide a general construction of Hom-Lieconformal algebras from Hom-Lie algebras. Finally, we prove that a Hom Gel’fand-Dorfman bialgebra is equivalent to a Hom-Lie conformal algebra of degree 2.


论文标题Schr？dinger-Virasoro Lie conformal algebra

作者Yucai Su, Lamei Yuan*

期刊名称JOURNAL OF MATHEMATICAL PHYSICS

期卷54, 053503

简单介绍We first construct two new nonsimple conformal algebras associated with theSchr¨odinger-Virasoro Lie algebra and the extended Schr¨odinger-Virasoro Lie algebra,respectively. Then we study conformal derivations and free nontrivial rankone conformal modules of these two conformal algebras. Also, we provide acomputation of their universal central extensions.


论文标题Hom-Lie Color Algebra Structures

作者Lamei Yuan

期刊名称Communications in Algebra

期卷40: 575–59

简单介绍The aim of this article is to introduce the notion of Hom-Lie color algebras. This classof algebras is a natural generalization of the Hom-Lie algebras as well as a specialcase of the quasi-hom-Lie algebras. In the article, homomorphism relations betweenHom-Lie color algebras are defined and studied. We present a way to obtain Hom-Liecolor algebras from the classical Lie color algebras along with algebra endomorphismsand offer some applications. Also, we introduce a multiplier u0001 on the abelian group u0002and provide constructions of new Hom-Lie color algebras from old ones by the u0001-twists.Finally, we explore some general classes of Hom-Lie color admissible algebras anddescribe all these classes via G–Hom-associative color algebras, where G is a subgroupof the symmetric group S3.


论文标题q-Deformation of W(2, 2) Lie Algebra Associated with Quantum Groups

作者Lamei Yuan

期刊名称Acta Mathematica Sinica, English Series

期卷2012, Vol.

简单介绍The q-deformation of W(2, 2) Lie algebra is well defined based on a realization of this Liealgebra by using the famous bosonic and fermionic oscillators in physics. Furthermore, the quantumgroup structures on the q-deformation of W(2, 2) Lie algebra are completely determined. Finally, the1-dimensional central extension of the q-deformed W(2, 2) Lie algebra is studied, which turns out tobe coincided with the conventional W(2, 2) Lie algebra in the q → 1 limit.


论文标题Low Dimensional Cohomology of Hom-Lie Algebras and q-deformed W(2, 2) Algebra

作者Lamei Yuan, Hong You

期刊名称Acta Mathematica Sinica, English Series

期卷2014, Vol.

简单介绍This paper aims to study low dimensional cohomology of Hom-Lie algebras and the qdeformedW(2, 2) algebra. We show that the q-deformed W(2, 2) algebra is a Hom-Lie algebra. Also,we establish a one-to-one correspondence between the equivalence classes of one-dimensional centralextensions of a Hom-Lie algebra and its second cohomology group, leading us to determine the secondcohomology group of the q-deformed W(2, 2) algebra. In addition, we generalize some resultsof derivations of finitely generated Lie algebras with values in graded modules to Hom-Lie algebras.As application, we compute all αk-derivations and in particular the first cohomology group of theq-deformed W(2, 2) algebra.


论文标题A nonsimple Lie conformal algebra of rank 2

作者Lamei Yuan, Hong You

期刊名称http://www.paper.edu.cn

简单介绍Conformal derivations, central extensions, free rank one conformal modules andlow-dimensional cohomologies of a rank 2 Lie conformal algebra associated to the centerlessW(2, 2) Lie algebra are determined.


论文标题Derivations and Automorphism Group of Completed Witt Lie Algebra

作者Yongping Wu, Ying Xu, Lamei Yuan

期刊名称Algebra Colloquium

期卷19 : 3 (20

简单介绍In this paper, a simple Lie algebra, referred to as the completed Witt Liealgebra, is introduced. Its derivation algebra and automorphism group are completelydescribed. As a by-product, it is obtained that the ˉrst cohomology group of this Liealgebra with coe±cients in its adjoint module is trivial. Furthermore, we completelydetermine the conjugate classes of this Lie algebra under its automorphism group, andalso obtain that this Lie algebra does not contain any nonzero ad-locally ˉnite element.


论文标题Quantization of Schr¨odinger-Virasoro Lie algebra

作者Yucai Su, Lamei Yuan

期刊名称Front. Math. China

期卷5(4): 701-712

简单介绍In this paper, we use the general quantization method by Drinfel’dtwists to quantize the Schr¨odinger-Virasoro Lie algebra whose Lie bialgebrastructures were recently discovered by Han-Li-Su. We give two different kindsof Drinfel’d twists, which are then used to construct the corresponding Hopfalgebraic structures. Our results extend the class of examples of noncommutativeand noncocommutative Hopf algebras.


论文标题Lie Bialgebra Structures on the Extended Schr？odinger-Virasoro Lie Algebra

作者Lamei Yuan, Yongping Wu, Ying Xu

期刊名称Algebra Colloquium

期卷18 : 4 (20

简单介绍In this paper, Lie bialgebra structures on the extended Schr？odinger-VirasoroLie algebra L are classiˉed. It is obtained that all the Lie bialgebra structures on L aretriangular coboundary. As a by-product, it is derived that the ˉrst cohomology groupH1(L;L - L) is trivial.