Cox, A., De Visscher, M., Doty, S. & Martin, P. (2008). On the blocks of the walled Brauer algebra. Journal of Algebra, 320(1), pp. 169212. doi: 10.1016/j.jalgebra.2008.01.026

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Abstract
We determine the blocks of the walled Brauer algebra in characteristic zero. These can be described in terms of orbits of the action of a Weyl group of type A on a certain set of weights. In positive characteristic we give a linkage principle in terms of orbits of the corresponding affine Weyl group. We also classify the semisimple walled Brauer algebras in all characteristics.
Item Type:  Article 

Uncontrolled Keywords:  Brauer algebras, representation theory, CENTRALIZER ALGEBRAS, CELLULAR ALGEBRAS, SCHUR ALGEBRAS, REPRESENTATIONS, CHARACTERS 
Subjects:  Q Science > QA Mathematics 
Divisions:  School of Engineering & Mathematical Sciences > Department of Mathematical Science 
URI:  http://openaccess.city.ac.uk/id/eprint/370 
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