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math.RT2019★ 1 cited
Normal form for the walled Brauer algebra: construction and applications
D. Bulgakova, Y. Goncharov, O. Ogievetsky
We construct a normal form for the walled Brauer algebra, together with the reduction algorithm. We apply normal form to calculate the numbers of monomials in generators with minim…
math.RT2019★ 7 cited
Fusion procedure for the walled Brauer algebra
D. V. Bulgakova, O. Ogievetsky
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 Hec…