New approaches to Lie algebra weight systems

Abstract: Workshop Kirillov–75. Combinatorics and Bethe ansatz. November 26–27

In this talk we introduce a universal weight system (a function on chord diagrams satisfying the 4-term relation) taking values in the ring of polynomials in infinitely many variables, whose particular specialisations are weight systems associated with the Lie algebras gl(N) and Lie superalgebras gl(M|N). We extend this weight system to permutations and provide an efficient recursion for its computation.

mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry

Audience: general audience

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.