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Simply connected nilpotent Lie groups with quasi-standard  -algebras
Author(s):
Robert
J.
Archbold;
Eberhard
Kaniuth
Journal:
Proc. Amer. Math. Soc.
125
(1997),
2733-2742.
MSC (1991):
Primary 22D25;
Secondary 22E25, 22D10
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Abstract:
The problem of when the group  -algebra of a locally compact group is quasi-standard is investigated for certain simply connected nilpotent Lie groups. The characterization is in terms of the coadjoint orbit structure in the dual of the Lie algebra.
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Additional Information:
Robert
J.
Archbold
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen AB24 3QY, Scotland, United Kingdom
Email:
r.archbold@maths.abdn.ac.uk
Eberhard
Kaniuth
Affiliation:
Fachbereich Mathematik/Informatik, Universität Paderborn, D-33095 Paderborn, Germany
Email:
kaniuth@uni-paderborn.de
DOI:
10.1090/S0002-9939-97-03830-6
PII:
S 0002-9939(97)03830-6
Received by editor(s):
November 21, 1995
Received by editor(s) in revised form:
March 12, 1996
Additional Notes:
The authors were supported by a British-German ARC Grant.
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1997,
American Mathematical Society
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