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

TL;DR
This paper investigates the structure of simple modules for the Brauer algebra over the complex numbers, providing a detailed restriction analysis and a new geometric interpretation of basis constructions.
Contribution
It offers a new geometric perspective on the basis construction for -permissible simple modules and describes the restriction structure of all simple modules.
Findings
Restriction structure of all simple modules described
New geometric interpretation of basis construction
Enhanced understanding of -permissible simple modules
Abstract
This paper gives two results on the simple modules for the Brauer algebra over the complex field. First we describe the module structure of the restriction of all simple modules. Second we give a new geometrical interpretation of Ram and Wenzl's construction of bases for the '\delta-permissible' simple modules.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology
