SEMINARIUM

TEORIA DWOISTOŚCI

KATEDRY METOD MATEMATYCZNYCH FIZYKI



W dniu 10. maja 2018 r. o godzinie 10:15

Daniel Wysocki (KMMF WFUW)

wygłosi wykład pt.

"Classification of three-dimensional real coboundary Lie bialgebras"

Streszczenie
A Lie bialgebra is a pair (g,δ), where g is a Lie algebra and δ : g -> g ∧ g is a map, a so-called cocommutator, that is closed relative to the Chevalley--Eilenberg cohomology of g ∧ g-valued 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 ad-hoc 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 three-dimensional real coboundary Lie bialgebras by extending Lie-algebra theory techniques to Grassmann algebras. To illustrate our techniques, several examples will be discussed.

Seminarium odbywa się w czwartki w godzinach 10:15–12:00 w sali 2.23 w głównym budynku Wydziału Fizyki UW przy ul. Pasteura 5 (II p.) w Warszawie.
Dodatkowe informacje są zamieszczane na stronie http://oldwww.fuw.edu.pl/KMMF/sem.czw.przedp.html.