2 citations · 7 across the 8 of their papers we have counts for
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Traceless projection of mixed tensor products, and walled Brauer algebras
Yegor Goncharov
We describe a self-contained procedure for constructing the traceless projection of mixed tensor products (built out of a finite-dimensional complex vector space and its dual). The…
Construction of the traceless projection of tensors via the Brauer algebra
D. V. Bulgakova, Y. O. Goncharov, T. Helpin
We describe how traceless projection of tensors of a given rank can be constructed in a closed form. On the way to this goal we invoke the representation theory of the Brauer algeb…
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…
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…