On the 10th of May 2018, at 10:15 a.m.
Daniel Wysocki (KMMF WFUW)
will give a talk on
"Classification of threedimensional real coboundary Lie bialgebras"
Abstract
A Lie bialgebra is a pair (g,δ), where g is a Lie algebra and δ : g > g ∧ g is a map, a socalled cocommutator, that is closed relative to the ChevalleyEilenberg cohomology of g ∧ gvalued forms and whose transpose induces a Lie algebra structure on g^*. If δ(·) = [·,r]_{S} for a bivector r ∈ g ∧ g and [·,·]_{S} is the Schouten—Nijenhuis bracket, the Lie bialgebra (g,δ) is called coboundary. The classification of coboundary Lie bialgebras is carried out generally through adhoc methods to solve the modified Yang—Baxter equations determining all possible r. In this talk, I will present several much more unifying approaches to classifying threedimensional real coboundary Lie bialgebras by extending Liealgebra theory techniques to Grassmann algebras. To illustrate our techniques, several examples will be discussed.
The seminar takes place on Thursdays from 10:15 a.m. to 12:00
in the room 2.23 of the main building of the Faculty of Physics (the 2nd floor), Pasteur Str. 5,
Warszawa.
Additional information can be found on the webpage
http://oldwww.fuw.edu.pl/KMMF/sem.czw.przedp.html.
