Google Scholar: cites
Wiener functionals on spaces of lie álgebra valued 1-currents, and unitary representations of current groups
Marion, Jean

Data: 1989
Resum: Well-known results about Brownian and Wiener functionals on abstract Wiener spaces are extended to Wiener functionals on the space of g- valued 1-currents on a manifold X, where g is the Lie algebra of a compact semisimple Lie group G. We introduce a family of Shigekawa-Sobolev spaces of generalized Wiener functionals and on each of them one gets a regular representation of the current group D(X,G) of G-valued and compactly supported smooth mappings on X. Then, a kind of Weyl's construction is used to associate, to each Riemannian flag of X, a ring of non located and order I unitary representations of D(X, G) including the energy representations studied in [23], [14].
Drets: Tots els drets reservats.
Llengua: Anglès
Document: Article ; recerca ; Versió publicada
Publicat a: Publicacions matemàtiques, V. 33 n. 1 (1989) p. 99-121, ISSN 2014-4350

Adreça alternativa:
DOI: 10.5565/PUBLMAT_33189_08

21 p, 563.2 KB

El registre apareix a les col·leccions:
Articles > Articles publicats > Publicacions matemàtiques
Articles > Articles de recerca

 Registre creat el 2009-04-24, darrera modificació el 2022-02-18

   Favorit i Compartir