SEMINARIUM

TEORIA DWOISTOŚCI

KATEDRY METOD MATEMATYCZNYCH FIZYKI



W dniu 3. marca 2016 r. o godzinie 10:15

Paweł Kasprzak (KMMF WFUW)

wygłosi wykład pt.

"Induced representations of locally compact groups"

Streszczenie
Induction is a technique yielding a large class of unitary representations of a given locally compact group G. It was used by Harish—Chandra in his theory of unitary representations of semisimple Lie groups. In my talk I will present the construction of representation of G which is induced from a representation of a closed subgroup H of G and discuss the main properties of the induction procedure. The example of the principal series of representations of SL(2,|C) will be presented. Then I will formulate the imprimitivity theorem characterising the class of induced representations of a given locally compact group and sketch its proof. The imprimitivity result will be linked with the Stone—von Neumann theorem and if time permits I will express the imprimitivity in terms of the Morita context assigned to a closed subgroup H of G. I will not say anything about the quantum version of the induction procedure which we are elaborating on with Kalantar, Skalski and Sołtan.

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.