On Brauer algebra simple modules over the complex field

@article{Visscher2012OnBA,
  title={On Brauer algebra simple modules over the complex field},
  author={Maud De Visscher and Paul Purdon Martin},
  journal={Transactions of the American Mathematical Society},
  year={2012},
  volume={369},
  pages={1579-1609}
}
  • M. VisscherP. Martin
  • Published 31 May 2012
  • Mathematics
  • Transactions of the American Mathematical Society
This paper gives two results on the simple modules for the Brauer algebra Bn(δ) over the complex field. First we describe the module structure of the restriction of all simple Bn(δ)-modules to Bn−1(δ). Second we give a new geometrical interpretation of Ram and Wenzl’s construction of bases for ‘δ-permissible’ simple modules. 

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