28 June 2010 to 2 July 2010
Nordita
Europe/Stockholm timezone

Quantum integrable spin systems and generalized Schur - Weyl duality

28 Jun 2010, 11:30
1h
Oskar Klein lecture hall (Nordita)

Oskar Klein lecture hall

Nordita

Speaker

Petr Kulish (St. Petersburg Department of Steklov Mathematical Institute)

Description

There are integrable (solvable) spin systems related to quantum groups (quasi-triangular Hopf algebras), with simple structure of space of states. The integrals of motion belong to a quotient A of the braid group, which is a centralizer of the symmetry quantum group of the system. The space of states is a direct sum of of tensor products of corresponding irreducible representations of A and the quantum group. This decomposition is multiplicity free.

Primary author

Petr Kulish (St. Petersburg Department of Steklov Mathematical Institute)

Presentation materials