Dimension Formula and an Irreducible Basis of Brauer Algebras

Pan Feng

Chinese Physics C> 1995, Vol. 19> Issue(8) : 734-738

Dimension Formula and an Irreducible Basis of Brauer Algebras

Pan Feng ^,

Department of Physics,Liaoning Normal University,Dalian 116022

Abstract
HTML
Reference
Related

PDF

Abstract：
The irreducible representations of Brauer algebras are constructed using an induced representation method.A dimension formula for calculating the irreducible representations of Brauer algebras is derived.

References

[1]	R.Brauer,Ann.Math.,38（1937）857.[2] J.Birman,H.Wenzl,Trans.,AMS313（1989）249.[3] H.Wenzl,Ann.Math,128（1988）123.[4] H.Wenzl,Commun.Math.Phys.,133（1990）383.[5] 马中骐，杨-巴克斯特方程和量子包络代数，第一章，1993,科学出版社，北京。[6] F.Pan,J.Q.Chen,J.Math.Phys.,34（1993）4305;4316.[7] Feng Pan,J.Phys.A:Math.Gen,1995,to be Publishd.

[1]	ZHAO Hai-Feng , WU Zi-Yu , Sebilleau Didier . Multiple Scattering Theory in a General Basis. Chinese Physics C, 2007, 31(5): 452-457.
[2]	HE Jian-Hua , XIA Shao-Jian , HOU Zheng-Chi , GONG Jin-Long , JIANG Xiao-Ming , ZHAO Yan . A Double Crystal Monochromator of Sagittal Focusing at SSRF. Chinese Physics C, 2001, 25(S1): 140-144.
[3]	SONG Jian-Jun , LI Xi-Guo . Trace Formula and Periodic Orbits Quantization for Two-Dimensional Integrable System. Chinese Physics C, 2001, 25(10): 958-963.
[4]	YANG ZhanYing , ZHEN Yi . Construction on the Solution of osp(1｜4)Toda Model. Chinese Physics C, 2000, 24(6): 484-489.
[5]	Fu Jinghua , Wu Yuanfang , Liu Lianshou . Multifractal Dimension and Dynamical Fluctuation Strength in High Energy Multiparticle Final States. Chinese Physics C, 1999, 23(10): 992-997.
[6]	Chen Xiangjun , Liu Lianshou . Dimensional Regularization and Analytical Continuationat Finite Temperature. Chinese Physics C, 1998, 22(5): 460-465.
[7]	Wang Xin , Li Jiarong . Dimensional Regularization in Imaginary-Time Temperature Field Theory and Thermodynamic Potential of Two-Loop QED. Chinese Physics C, 1997, 21(3): 216-226.
[8]	Zhang Jianwei , Deng Weizhen , Yang Zesen , Yang Liming . Dimensional Regularization and π-meson Properties in Nambu-Jona-Lasinio Model. Chinese Physics C, 1994, 18(9): 821-828.
[9]	YANG Ya-Ping , YU Zu-Rong . Irreducible Representation of Quantum Algebra SU_q(4). Chinese Physics C, 1993, 17(5): 423-430.
[10]	YANG Huan-Xiong . Hamiltonian Formalism of WZNW Field Under Chevalley Basis. Chinese Physics C, 1992, 16(8): 696-703.
[11]	YU Zu-Rong . Irreducible Representations of Quantum Lie Superalgebra SL_q(2/1). Chinese Physics C, 1992, 16(11): 1035-1042.
[12]	YU Zu-Rong . Irreducible Representations and Wigner Coefficients of Quantum Algebra SL_q(3). Chinese Physics C, 1992, 16(9): 832-839.
[13]	DUAN Yi-Wu , WU Wei-Ping , BAO Cheng-Guang , AN Wei-Ke . The Expansion Method of Mixed Basis Vectors of Lower-energy States and Harmonic Oscillators in Calculation of Bound States of Few-Body Systems. Chinese Physics C, 1991, 15(1): 42-45.
[14]	ZHANG Yue-Zhong . AXIAL VECTOR WARD IDENTITIES AND DIMENSIONAL REGULARIZATION IN RENORMALIZABLE SU(2)_L×U(1)_Y MODEL. Chinese Physics C, 1985, 9(4): 430-436.
[15]	YAO Nai-Guo , YU Zu-Rong . THE PHYSICAL BASES OF THE THREE PARTICLE SYSTEM. Chinese Physics C, 1984, 8(6): 720-731.
[16]	SHI YI-JIN . SYMMETRY BASIS AND PHYSICAL BASIS UNDER THE L·S AND jj REPRESENTATIONS FOR DI-HADRON SYSTEM. Chinese Physics C, 1983, 7(6): 743-755.
[17]	ZENG GAO-JIAN . THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OF SU₃ GROUP. Chinese Physics C, 1981, 5(1): 82-91.
[18]	HAN QI-ZHI , SONG XING-CHANG , LI GEN-DAO , SUN HONG-ZHOU . IRREDUCIBLE REPRESENTATIONS OF THE GRADED LIE ALGEBRA SU(m/n). Chinese Physics C, 1981, 5(5): 546-553.
[19]	Sun Hong-zhou . ON THE IRREDUCIBLE REPRESENTATIONS OF THE COMPACT SIMPLE LIE GROUPS OF RANK 2(III). Chinese Physics C, 1980, 4(3): 271-285.
[20]	Sun Hong-zhou , Han Qi-zhi . ON THE IRREDUCIBLE REPRESENTATIONS OF THE SIMPLE LIE GROUPS I——THE TENSOR BASIS FOR THE INFINITESIMAL GENERATORS OF THE CLASSICAL SIMPLE LIE GROUPS. Chinese Physics C, 1980, 4(5): 588-599.

Access

Get Citation

Pan Feng. Dimension Formula and an Irreducible Basis of Brauer Algebras[J]. Chinese Physics C, 1995, 19(8): 734-738.

Pan Feng. Dimension Formula and an Irreducible Basis of Brauer Algebras[J]. Chinese Physics C, 1995, 19(8): 734-738. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2634)
PDF Downloads(479)
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

Dimension Formula and an Irreducible Basis of Brauer Algebras

Pan Feng ^,

Corresponding author: Pan Feng,

Department of Physics,Liaoning Normal University,Dalian 116022

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-08-05

Abstract: The irreducible representations of Brauer algebras are constructed using an induced representation method.A dimension formula for calculating the irreducible representations of Brauer algebras is derived.