3 papers
math.RA2020
Compact Schur-Weyl duality: real Lie groups and the cyclotomic Brauer algebra
Kieran Calvert
We show that the centraliser of the maximal compact subgroup of the real orthogonal or symplectic groups acting on tensors of their standard representation are isomorphic to cyclot…
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…