Dimension Formula and an Irreducible Basis of Brauer Algebras

Pan Feng

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《中国物理C》（英文）编辑部

2024年10月30日

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

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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.

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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

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

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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.