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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
On the structure of modules over walled Brauer algebra via normal form and random walks
D. V. Bulgakova, Y. O. Goncharov
We analyze cyclic cell modules over walled Brauer algebra in terms of a certain normal form. The latter allows us to decompose the algebra into the generating set and annihilator i…