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math.RT2012★ 1 cited
On Brauer algebra simple modules over the complex field
Maud De Visscher, Paul P. Martin
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. S…
math.RT2012★ 1 cited
Decomposition numbers for the cyclotomic Brauer algebras in characteristic zero
C. Bowman, A. G. Cox, M. De Visscher
We study the representation theory of the cyclotomic Brauer algebra via truncation to idempotent subalgebras which are isomorphic to a product of walled and classical Brauer algebr…
math.RT2010
Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra
Anton Cox, Maud De Visscher
We determine the decomposition numbers for the Brauer and walled Brauer algebra in characteristic zero in terms of certain polynomials associated to cap and curl diagrams (recoveri…