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math.RT2022
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…
math.RT2017
On the decomposition of tensor representations of symmetric groups
P. P. Nikitin, N. V. Tsilevich, A. M. Vershik
Following the general idea of Schur--Weyl scheme and using two suitable symmetric groups (instead of one), we try to make more explicit the classical problem of decomposing tensor…
math.RT2011★ 1 cited
Description of the Characters and Factor Representations of Infinite Symmetric Inverse Semigroup
Anatoly Vershik, Pavel Nikitin
We give a complete list of indecomposable characters of the infinite symmetric semigroup. In comparison with the analogous list for the infinite symmetric group, one should introdu…