4 papers · 1 filter
Trace radicals and cocenters of free products
Nikita Safonkin
We call a unital associative algebra trace residually finite-dimensional if its elements are separated by finite-dimensional representations and its cocenter is separ…
Double Transposed Poisson Algebras
Maxime Fairon, Nikita Safonkin
We introduce double transposed Poisson algebras, a noncommutative analogue of the transposed Poisson algebras of Bai, Bai, Guo and Wu that is compatible with the Kontsevich--Rosenb…
Remarks on Yangian-type algebras and double Poisson brackets
Grigori Olshanski, Nikita Safonkin
This short note is an announcement of results. We continue the study of Yangian-type algebras initiated in the paper arXiv:2208.04809. These algebras share a number of properties o…
Semifinite harmonic functions on the direct product of graded graphs
Pavel Nikitin, Nikita Safonkin
Indecomposible semifinite harmonic functions on the direct product of graded graphs are classified. As a particular case, the full list of indecomposible traces for the infinite in…