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math.RT2019
Compact Schur-Weyl duality and the affine Type B/C Brauer algebra
Kieran Calvert
We define an extension of the affine Brauer algebra, the type B/C affine Brauer algebra. This new algebra contains the hyperoctahedral group and it naturally acts on $END_K(X \otim…
math.RT2018
Dirac cohomology and simple modules of the Dunkl-Opdam subalgebra via inherited Drinfeld properties
Kieran Calvert
In this paper we define a new presentation for the Dunkl-Opdam subalgebra of the rational Cherednik algebra. This shows that the Dunkl-Opdam subalgebra is a Drinfeld algebra. We us…