Inhomogeneous Differential Realization, Boson-Fermion Realization of Lie Superalgebra <i>B</i>(0,1) and its Representations

Fu Hongchen

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1990, Vol. 14> Issue(S1) : 27-37

Inhomogeneous Differential Realization, Boson-Fermion Realization of Lie Superalgebra B(0,1) and its Representations

Fu Hongchen

Department of Physics, Northeast Normal University, Changchun

Abstract
HTML
Reference
Related

PDF

Abstract：
The differential realization of Lie superalgebra B(0,1) on the space of inhomogeneous polynomials (called inhomogeneous differential realization), and the corresponding inhomogeneous Boson-Fermion realization are studied. By making use of the inhomogeneous Boson-Fermion realization, a new kind of indecomposable and irreducible representation of Lie superalgebra B(0,1) is studied on the universal enveloping algebra of Heisenberg-Weyl superalgebra, its subspaces and its quotient spaces; AH the finite dimensional irreducible representations of Lie superalgebra B(0,1) are naturally obtained as special cases.

[1]	XU Gang , JIAO Yi , TIAN Sai-Ke . Realization of a locally-round beam in an ultimate storage ring using solenoids. Chinese Physics C, 2013, 37(6): 067002. doi: 10.1088/1674-1137/37/6/067002
[2]	Jamil Aslam . B→0⁺(1⁺)+ missing energy in unparticle physics. Chinese Physics C, 2009, 33(5): 332-339. doi: 10.1088/1674-1137/33/5/003
[3]	DAI Lian-Rong , FU Yao , LIU Zhong-Zuo , WANG Yin , TONG Lei , LI Chun-Ran . Structure of Ξ^*Ω_(0,1/2) Dibaryon. Chinese Physics C, 2006, 30(S2): 271-273.
[4]	Yu Zhaoxian , Liu Yehou . Inhomogeneous Inverse Differential Realizations of the SU(1,1) Group. Chinese Physics C, 1999, 23(6): 529-535.
[5]	Zhang Jun , Yang Guangcan , Yan Hong . 2-D Cyclic Representations of U_q(sl(2)), C-G Coefficients,and a Free Fermion 8_Vertex Model. Chinese Physics C, 1996, 20(S1): 33-38.
[6]	Wang Yanshen , Hou Boyu . Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames. Chinese Physics C, 1994, 18(S4): 345-355.
[7]	Shao Bin . Dyson Boson Realization of the Fermion Dynamical Symmetry SP(10) Model with G Pairs. Chinese Physics C, 1994, 18(1): 27-36.
[8]	Shao Bin . Boson Realization of the Fermion Dynamical Symmetry Group. Chinese Physics C, 1994, 18(6): 541-546.
[9]	CHEN Yong-Qing . q-Oscillator Representations of the Quantum Superalgebra spl_q(2,1). Chinese Physics C, 1993, 17(7): 631-635.
[10]	KUANG Le-Man , ZENG Gao-Jian . Super-coherent State Representation of Lie Superalgebra B(0,1). Chinese Physics C, 1993, 17(3): 215-221.
[11]	FU Hong-Chen , GE Mo-Lin . Verma Module of Quantum Group GL(3)_q Its q-Boson Realization and Cyclic Representations. Chinese Physics C, 1992, 16(10): 912-918.
[12]	YU Zu-Rong . Irreducible Representations of Quantum Lie Superalgebra SL_q(2/1). Chinese Physics C, 1992, 16(11): 1035-1042.
[13]	Fu Hongchen , Ge Molin . Verma Module of Quantum Group GL(3)_q,and the q-boson Realization and Cyclic Representations. Chinese Physics C, 1992, 16(S4): 431-437.
[14]	Li Tiezhong . A Scheme for Identifying Various Extra z⁰ Boson Models. Chinese Physics C, 1991, 15(S3): 273-281.
[15]	CHEN Xue-Jun . EXPRESSIONS OF FERMION OPERATORS IN THE INTERACTING BOSON-FERMION MODELS. Chinese Physics C, 1990, 14(2): 160-163.
[16]	SUN Chang-Pu . ON BOSON REALIZATIONS AND INHOMOGENEOUS DIFFERENTIAL REALIZATION FOR LIE ALGEBRAS AND THEIR REPRESENTATIONS. Chinese Physics C, 1990, 14(9): 788-795.
[17]	FU Hong-Chen . INHOMOGENEOUS DIFFERENTIAL REALIZATION,BOSON-FERMION REALIZATION OF LIE SUPERALGEBRA B(0,1) AND ITS REPRESENTATIONS. Chinese Physics C, 1990, 14(2): 126-135.
[18]	SONG Xiao-Tong , DAI You-Shan . ELECTROMAGNETIC FORM FACTORS OF (0—1/2) ELECTROMAGNETIC BOUND SYSTEM. Chinese Physics C, 1985, 9(3): 371-376.
[19]	ZHU Pei-Yu , CAO Yu-Fang , WU You-Shi . THE SPIN (6) LIMIT OF INTERACTING BOSON-FERMION MODEL Ⅱ. Chinese Physics C, 1985, 9(2): 154-160.
[20]	ZHANG XI-ZHEN , LI CHU-HSIA , . INTERACTING BOSON-FERMION MODEL AND. Chinese Physics C, 1982, 6(3): 347-354.

Access

Get Citation

Fu Hongchen. Inhomogeneous Differential Realization, Boson-Fermion Realization of Lie Superalgebra B(0,1) and its Representations[J]. Chinese Physics C, 1990, 14(S1): 27-37.

Fu Hongchen. Inhomogeneous Differential Realization, Boson-Fermion Realization of Lie Superalgebra B(0,1) and its Representations[J]. Chinese Physics C, 1990, 14(S1): 27-37. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1989-04-01

Article Metric

Article Views(639)
PDF Downloads(2)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Inhomogeneous Differential Realization, Boson-Fermion Realization of Lie Superalgebra B(0,1) and its Representations

Fu Hongchen

Department of Physics, Northeast Normal University, Changchun

Received Date: 1989-04-01

Abstract: The differential realization of Lie superalgebra B(0,1) on the space of inhomogeneous polynomials (called inhomogeneous differential realization), and the corresponding inhomogeneous Boson-Fermion realization are studied. By making use of the inhomogeneous Boson-Fermion realization, a new kind of indecomposable and irreducible representation of Lie superalgebra B(0,1) is studied on the universal enveloping algebra of Heisenberg-Weyl superalgebra, its subspaces and its quotient spaces; AH the finite dimensional irreducible representations of Lie superalgebra B(0,1) are naturally obtained as special cases.