Informuje, że w czwartek, 26 czerca br. o godz.9:30,
prof. Tuong Ton-That z Iowa University, USA
wygłosi odczyt (streszczenie poniżej):

Invariant Differential Operators on Homogeneous Manifolds

Odczyt odbedzie sie w sali A 407 w gmachu Wydziału Matematyki i Informatyki UŁ w Łodzi przy ul. Banacha 22

Antoni Pierzchalski

prezes OŁ PTM

*Abstract. *Let *M* be an analytic manifold. Let *G* and *G'* be 

connected Lie groups. Assume that *G *and *G' *are global transformation 

groups on *M*. Denote the action of *G*( resp. *G'*) on *M* by 

*[r(g)](x)=x.g*, (resp. *[l(g')](x)= g'.x ,* for *x* in *M*,  *g *in 

*G*, and *g'* in *G'*, and call it the /right action /(resp./left 

action/).We also make the following assumptions: *G* acts  

/transitively/ on *M*, *G' *acts /freely/ and  /properly /on *M*, and 

the two actions commute. An analytic differential operator  *D* on *M  

*is called /right-invariant /(resp. /left-invariant/) if it commutes 

with the right (resp. left) action. We study the algebras of analytic 

differential operators invariant under the right, left, and joint 

actions and the relationship between them. Many examples are given ; 

amongst the manifolds *M* considered  are Stiefel and Grassmann 

manifolds. Applications in Physics include computations of  /Casimir operators/.