Generalization of the Talalaev's determinant formula to the elliptic dynamical case
Alexey Silantyev (University of Glasgow)
Tuesday 19th January, 2010 15:00-16:00 Mathematics Building, room 204
In 2004 Dmitry Talalaev first found a formula for higher quantum integrals of motion for the (rational) gl_n Gaudin model. We generalize his formula for the dynamical elliptic gl_n Gaudin model. We realize it considering a commutative family for the Felder's elliptic quantum group and taking the appropriate limit. The main tools we use are algebraic properties of Manin matrices. This is joint work with V. Rubtsov and D. Talalaev.