85 citations · 616 across the 42 of their papers we have counts for
4 papers · 1 filter
Spectral extension of the quantum group cotangent bundle
A. Isaev, P. Pyatov
The structure of a cotangent bundle is investigated for quantum linear groups GLq(n) and SLq(n). Using a q-version of the Cayley-Hamilton theorem we construct an extension of the a…
Two-component abelian sandpile models
F. C. Alcaraz, P. Pyatov, V. Rittenberg
In one-component abelian sandpile models, the toppling probabilities are independent quantities. This is not the case in multi-component models. The condition of associativity of t…
Spectral parameterization for the power sums of quantum supermatrix
Dimitri Gurevich, Pavel Pyatov, Pavel Saponov
A parameterization for the power sums of GL(m|n) type quantum (super)matrix is obtained in terms of it's spectral values.
Punctured plane partitions and the q-deformed Knizhnik--Zamolodchikov and Hirota equations
Jan de Gier, Pavel Pyatov, Paul Zinn-Justin
We consider partial sum rules for the homogeneous limit of the solution of the q-deformed Knizhnik--Zamolodchikov equation with reflecting boundaries in the Dyck path representatio…