---
res:
bibo_abstract:
- This paper is a contribution to the question for which simply connected Lie groups
G the group algebra L to the power of 1(G) is symmetric (=hermitean). For groups
G in a certain subclass of the class of exponential Lie groups a necessary and
sufficient condition for the symmetry of L to the power of 1(G) is given in terms
of the Lie algebra of G. This subclass contains all groups with Lie algebra g
such that the (additive) Jordan decomposition is possible in ad(g). The condition
was introduced by Boidol in exploring the *-primitve ideal space, and so the main
result of the paper implies that for some exponential Lie groups G the symmetry
of L to the power of 1(G) is equivalent to a certain property of the *-primitive
ideal space. Moreover, an example of a seven-dimensional exponential Lie group
G with symmetric group algebra is given where the existing general methods are
not applicable to get the symmetry.@eng
bibo_authorlist:
- autoren_ansetzung:
- Poguntke, Detlev
- Poguntke
- Detlev Poguntke
- Poguntke, D
- Poguntke, D.
- D Poguntke
- D. Poguntke
foaf_Person:
foaf_givenName: Detlev
foaf_name: Poguntke, Detlev
foaf_surname: Poguntke
bibo_volume: '315'
dct_date: 1980^xs_gYear
dct_isPartOf:
- http://id.crossref.org/issn/0075-4102
dct_language: eng
dct_title: Symmetry and nonsymmetry for a class of exponential Lie groups@
...