1 citations · 1 across the 2 of their papers we have counts for
4 papers
On balanced and abelian properties of circular words over a ternary alphabet
D. V. Bulgakova, N. Buzhinsky, Y. O. Goncharov
We revisit the question of classification of balanced circular words and focus on the case of a ternary alphabet. We propose a -dimensional generalisation of the discrete approx…
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…
Scattering amplitudes as multi-particle higher-spin charges in the correspondence space
Y. O. Goncharov, M. A. Vasiliev
Following the proposal of arXiv:1312.6673, multi-particle scattering amplitudes are represented as conserved higher-spin charges. The advantage of such reformulation is that multi-…