Erratum to the paper "Structure and unitary cocycle representations of loop groups and the group of diffeomorphisms of the circle".
Nolan R. Wallach, Roe Goodman (1984)
Journal für die reine und angewandte Mathematik
Similarity:
Nolan R. Wallach, Roe Goodman (1984)
Journal für die reine und angewandte Mathematik
Similarity:
Charles W. Curtis (1965)
Journal für die reine und angewandte Mathematik
Similarity:
Eberhard Kaniuth, M.E.B. Bekka (1988)
Journal für die reine und angewandte Mathematik
Similarity:
Arnal, Didier, Baklouti, Ali, Ludwig, Jean, Selmi, Mohamed (2000)
Journal of Lie Theory
Similarity:
A. Strasburger, A. Wawrzyńczyk (1972)
Studia Mathematica
Similarity:
N. Spaltenstein (1983)
Journal für die reine und angewandte Mathematik
Similarity:
Wojciech Banaszczyk (1987)
Colloquium Mathematicae
Similarity:
Robert P. Boyer (2003)
Studia Mathematica
Similarity:
We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in...
Koichi Takase (1992)
Journal für die reine und angewandte Mathematik
Similarity:
Łukasz Garncarek (2014)
Colloquium Mathematicae
Similarity:
We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms.
Koichi Takase (1993)
Journal für die reine und angewandte Mathematik
Similarity:
Marek Bozejko (1987)
Journal für die reine und angewandte Mathematik
Similarity:
Gerald W. Schwarz (1978/79)
Inventiones mathematicae
Similarity:
Wen-Ch'ing Winnie, P. Gérardin (1989)
Journal für die reine und angewandte Mathematik
Similarity:
David A.jun. Vogan (2000)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
One of the fundamental problems of abstract harmonic analysis is the determination of the irreducible unitary representations of simple Lie groups. After recalling why this problem is of interest, we discuss the present state of knowledge about it. In the language of Kirillov and Kostant, the problem finally is to «quantize» nilpotent coadjoint orbits.
Ivan Marin (2013)
Annales mathématiques Blaise Pascal
Similarity:
This work presents an approach towards the representation theory of the braid groups . We focus on finite-dimensional representations over the field of Laurent series which can be obtained from representations of infinitesimal braids, with the help of Drinfeld associators. We set a dictionary between representation-theoretic properties of these two structures, and tools to describe the representations thus obtained. We give an explanation for the frequent apparition of unitary structures...