On Brauer algebra simple modules over the complex field

De Visscher, Maud; Martin, Paul

doi:10.1090/tran/6716

On Brauer algebra simple modules over the complex field
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by Maud De Visscher and Paul P. Martin PDF

Trans. Amer. Math. Soc. 369 (2017), 1579-1609 Request permission

Abstract:

This paper gives two results on the simple modules for the Brauer algebra $B_n(\delta )$ over the complex field. First we describe the module structure of the restriction of all simple $B_n(\delta )$-modules to $B_{n-1}(\delta )$. Second we give a new geometrical interpretation of Ram and Wenzl’s construction of bases for “$\delta$-permissible” simple modules.

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