Video library: A. M. Vershik, Finite and locally finite groups generated with involutions

VIDEO LIBRARY


Adian 90: Conference on Mathematical Logic, Algebra, and Computation July 5, 2021 12:45, Moscow, Steklov Mathematical Institute of RAS (Moscow) and online in Zoom

Finite and locally finite groups generated with involutions A. M. Vershik PDMI RAS, Saint Petersburg
Abstract: We define the class of countable groups of the symmetries of the spaces of paths of the graded $N$-graphs which are Hasse diagrams of the distributed lattices. From other side the is the group of symmetries of the monotonic numerations of a poset and are natural generalizations of the Coxeters groups. The countable groups of that type are the inductive limit of countable symmetric groups. We are interested in the actions with invariant measures and with representations of these groups. Language: English