Semifinite harmonic functions on Bratteli diagrams

Pavel Nikitin (BIMSA)

10-Feb-2023, 09:00-10:30 (14 months ago)

Abstract: Locally semisimple algebras (LS-algebras) are inductive limits of semisimple algebras, and can be fully characterized by their Bratteli diagrams ($\mathbb{N}$-graded graphs). (Finite) harmonic functions on Bratteli diagrams are a standard tool in the representation theory of LS-algebras and semifinite harmonic functions are a natural generalization. We plan to give an overview of the subject, starting with the classical results for the infinite symmetric group, followed by the recent results for the infinite symmetric inverse semigroup. Joint work with N.Safonkin

mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry

Audience: general audience

( slides | video )


BIMSA Integrable Systems Seminar

Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.

Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.

The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.

Organizers: Niсolai Reshetikhin, Ivan Sechin, Andrey Tsiganov*
*contact for this listing

Export talk to