On the blocks of the walled Brauer algebra
By A. Cox, M. Visscher, Stephen R Doty, Paul P. Martin. 2007
87 citations recorded by the source corpus.
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.
Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d0277958932826d787454e778f9b59b6f34f44ce
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In Discrete Mathematics and Combinatorics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Diagrammatic Kazhdan-Lusztig theory for the (walled) Brauer algebra (2010, methodology): “ight λ makes sense for the resulting algebra (and similarly for resλ r,s). Remark 3.6. There are reflection geometries controlling the block structure of the Brauer [CDM09b] and walled Brauer algebras [CDDM08] which we will review shortly. These define a system of facets, and in [CDM09b] it was shown ”