Dimension Formula and an Irreducible Basis of Brauer Algebras

  • 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.
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  • [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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Dimension Formula and an Irreducible Basis of Brauer Algebras

    Corresponding author: Pan Feng,
  • Department of Physics,Liaoning Normal University,Dalian 116022

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.

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