- Tytuł:
- Halls transformation via quantum stochastic calculus
- Autorzy:
-
Cohen, Paula
Hudson, Robin
Parthasarathy, K.
Pulmannová, Sylvia - Powiązania:
- https://bibliotekanauki.pl/articles/1341995.pdf
- Data publikacji:
- 1998
- Wydawca:
- Polska Akademia Nauk. Instytut Matematyczny PAN
- Opis:
- It is well known that Hall's transformation factorizes into a composition of two isometric maps to and from a certain completion of the dual of the universal enveloping algebra of the Lie algebra of the initial Lie group. In this paper this fact will be demonstrated by exhibiting each of the maps in turn as the composition of two isometries. For the first map we use classical stochastic calculus, and in particular a stochastic analogue of the Dyson perturbation expansion. For the second map we make use of quantum stochastic calculus, in which the circumambient space is the complexification of the Lie algebra equipped with the ad-invariant inner product.
- Źródło:
-
Banach Center Publications; 1998, 43, 1; 147-155
0137-6934 - Pojawia się w:
- Banach Center Publications
- Dostawca treści:
- Biblioteka Nauki
Artykuł