Geodesic
On Unitary Representations of Disconnected Real Reductive Groups
Journal of Lie theory, Tome 28 (2018) no. 3, pp. 865-884
Cet article a éte moissonné depuis la source Heldermann Verlag

Voir la notice de l'article

Let G be the real reductive group and let G0 be the identity component. Let us assume that the unitary dual D(G0) is known. In this paper the unitary dual D(G) is constructed. Automorphisms of G0 generated by elements of G are the main ingredient of the construction. If the automorphism is outer, one has to consider the corresponding intertwining operators S. Operators S and their properties are analyzed in Section 5. Automorphisms of g0 are closely related to automorphisms of G0. They are investigated in Section 3. Automorphisms of so(4,4) are analyzed in Section 4.
Classification : 17B10, 22E47
Mots-clés : Real Lie groups, representations, disconnected groups, automorphisms 
@article{JLT_2018_28_3_JLT_2018_28_3_a14,
     author = {D. Kovacevic},
     title = {On {Unitary} {Representations} of {Disconnected} {Real} {Reductive} {Groups}},
     journal = {Journal of Lie theory},
     pages = {865--884},
     year = {2018},
     volume = {28},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2018_28_3_JLT_2018_28_3_a14/}
}
TY  - JOUR
AU  - D. Kovacevic
TI  - On Unitary Representations of Disconnected Real Reductive Groups
JO  - Journal of Lie theory
PY  - 2018
SP  - 865
EP  - 884
VL  - 28
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/JLT_2018_28_3_JLT_2018_28_3_a14/
ID  - JLT_2018_28_3_JLT_2018_28_3_a14
ER  - 
%0 Journal Article
%A D. Kovacevic
%T On Unitary Representations of Disconnected Real Reductive Groups
%J Journal of Lie theory
%D 2018
%P 865-884
%V 28
%N 3
%U http://geodesic.mathdoc.fr/item/JLT_2018_28_3_JLT_2018_28_3_a14/
%F JLT_2018_28_3_JLT_2018_28_3_a14
D. Kovacevic. On Unitary Representations of Disconnected Real Reductive Groups. Journal of Lie theory, Tome 28 (2018) no. 3, pp. 865-884. http://geodesic.mathdoc.fr/item/JLT_2018_28_3_JLT_2018_28_3_a14/