INHOMOGENEOUS DIFFERENTIAL REALIZATION,BOSON-FERMION REALIZATION OF LIE SUPERALGEBRA B(0,1) AND ITS REPRESENTATIONS

FU Hong-Chen

Chinese Physics C> 1990, Vol. 14> Issue(2) : 126-135

INHOMOGENEOUS DIFFERENTIAL REALIZATION,BOSON-FERMION REALIZATION OF LIE SUPERALGEBRA B(0,1) AND ITS REPRESENTATIONS

FU Hong-Chen ^,

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,and the corresponding inhomogeneous Boson-Fermion realization are studiel.A new kind of indecomposable and irreducible representations of Lie superalgebra B(0,1) is studied on the universal enveloping algebra of Heisenberg-Weyl superalgebra,and on its subspaces and quotient spaces.All the finite dimensional irreducible representations are naturally obtained as special cases.

References

[1]

A.V.Turbines and .A. G. Ushveridze; Phys. Lett., 126A(1987),181[2] A.V.Turbiner; Commun.Math Phys., 118(1988), 467-474.[3] M.A.Shifman; Preprint, CERN-TH. 5265/88, "New Findings in Quantum Mechanics".[4] Hong-Chen Fu and Chang-Pu Sun; Inhosnogeneous Boson Realization of Indecomposable Representations of Lie Algebras, J. Math. Phys., in press[5] Chang-Pu Sun; J. Phys. A: Math. Gen., 20(1987), 5823-5829.[6] P. A. M. Dirac; Int: J. Theor. Phys., 23(8)(1984), 677.[7] N. Jacobson; 'Basic Algebra.. Acdamic Press,1971.[8] 孙洪洲、韩其智，物理学进展,Vol. 3,No.1(1983).

Access

Get Citation

FU Hong-Chen. INHOMOGENEOUS DIFFERENTIAL REALIZATION,BOSON-FERMION REALIZATION OF LIE SUPERALGEBRA B(0,1) AND ITS REPRESENTATIONS[J]. Chinese Physics C, 1990, 14(2): 126-135.

FU Hong-Chen. INHOMOGENEOUS DIFFERENTIAL REALIZATION,BOSON-FERMION REALIZATION OF LIE SUPERALGEBRA B(0,1) AND ITS REPRESENTATIONS[J]. Chinese Physics C, 1990, 14(2): 126-135. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(3217)
PDF Downloads(512)
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