Fusion procedure for the walled Brauer algebra
arXiv:1911.10537 · doi:10.1016/j.geomphys.2019.103580
Abstract
We establish two versions of the fusion procedure for the walled Brauer algebras. In each of them, a complete system of primitive pairwise orthogonal idempotents for the walled Hecke algebra is constructed by consecutive evaluations of a rational function in several variables on contents of standard walled tableaux.
References in corpus (10)
- A new fusion procedure for the Brauer algebra and evaluation homomorphisms
- Representations of twisted Yangians associated with skew Young diagrams
- On the fusion procedure for the symmetric group
- On representations of cyclotomic Hecke algebras
- Supersymmetric polynomials and the center of the walled Brauer algebra
- Induced representations and traces for chains of affine and cyclotomic Hecke algebras
- Fusion Procedure for Cyclotomic Hecke Algebras
- On representations of complex reflection groups G(m,1,n)
- Fusion procedure for Coxeter groups of type B and complex reflection groups G(m,1,n)
- Normal form for the walled Brauer algebra: construction and applications