By a generalized Yangian I mean a Yangian-like algebra of one of two classes. One of

them consists of the so-called braided Yangians, recently introduced by myself and

Pavel Saponov. The braided Yangians are in a sense similar to the reflection equation algebra.

The generalized Yangians of second class, called the Yangians of RTT type, are defined by the

same formulae as the usual Yangians are but with other quantum $R$-matrices. If such an

$R$-matrix is the simplest trigonometrical $R$-matrix, the corresponding Yangian of RTT type

is the so-called q-Yangian. In my talk I plan to present a comparative analyse of the generalized

Yangians and to exhibit the Poisson structures corresponding to the generalized Yangians which

are deformations of commutative algebras.

Posted in

Speaker:

Dimitri Gurevich
Affiliation:

Valenciennes University
Date:

Tue, 2017-03-14 14:00 - 15:00
Location:

MPIM Lecture Hall
Parent event:

Seminar on Algebra, Geometry and Physics