Brauer algebra dual modules and polytabloids

Morgen Bills ^[1]
1. [1] University of Nebraska–Lincoln
  
  University of Nebraska–Lincoln
  
  Estados Unidos
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 5 ( (May 2015)), 2015, págs. 1285-1303
Idioma: inglés
DOI: 10.1016/j.jpaa.2014.06.005
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Resumen
- This paper fills in the relationship between the standard and dual representations of irreducible Brauer algebra modules in all cases, semisimple and non-semisimple. This parallels the correspondence given in earlier works for the constructions of the Specht modules. In addition, due to the close relationship between Brauer algebra irreducible modules in the non-semisimple case and certain multiplications, some general work on polytabloids is discussed. This gives an extension to previous results about the non-semisimple case.