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math.RT2019
Groups generated by involutions of diamond-shaped graphs, and deformations of Young's orthogonal form
A. Vershik, N Tslevich
With an arbitrary finite graph having a special form of 2-intervals (a diamond-shaped graph) we associate a subgroup of a symmetric group and a representation of this subgroup; sta…
math.DS2019
On a universal Borel adic space
A. Vershik, P. Zatitskii
We prove that the so-called uniadic graph and its adic automorphism are Borel universal, i.e., every aperiodic Borel automorphism is isomorphic to the restriction of this automorph…