Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Dmitry Gurevich
Affiliation:

Université de Valenciennes
Date:

Tue, 2018-09-25 14:00 - 15:00 The notion of compatible R-matrices was introduced by Isaev-Ogievetsky-Pyatov.

It enables one to introduced a large family of new quantum algebras and the

corresponding Bethe subalgebras. Also, this notion is useful for defining

the so-called half-quantum algebras (Isaev-Ogievetsky) which generalize the

notions of the Manin and q-Manin matrices. In my talk I plan to introduce all

these objects and to exhibit the role of the mentioned algebras in

studying the Yangians and their different generalizations.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/node/5312