Menu:

Solvability of the E6 integrable system, both rational and trigonometric


por el

Dr. Juan Carlos López Vieyra

Instituto de Ciencias Nucleares, UNAM

Resumen:
It is shown that the E6 Olshanetsky-Perelomov Hamiltonian, both rational and trigonometric, defined in 6-dimensional space when written in terms of fundamental Weyl invariants, Polynomial and Exponential, respectively, is in algebraic form, i.e. it is a second order differential operator with polynomial coefficients. Both Hamiltonians preserve two infinite flags of spaces of polynomial marked by the Weyl (co)-vector and by the E6 highest root (all in the basis of simple roots) as characteristic vectors. Explicit examples of first eigenfunctions are presented.

Miércoles 29 de mayo, 2013
18:00 hrs.
Salón 203, Edificio Anexo, IIMAS

Informes: coloquiomym@gmail.com, o al 5622-3564.