Article ID Journal Published Year Pages File Type
4595985 Journal of Pure and Applied Algebra 2015 19 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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