Geodesic
On Unitary Representations of Disconnected Real Reductive Groups
Domagoj Kovacevic1
1University of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, 10000 Zagreb, Croatia
Journal of Lie Theory, Tome 28 (2018) no. 3, pp. 865-884

Voir la notice de l'article provenant de la source Heldermann Verlag

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

Domagoj Kovacevic  1

1 University of Zagreb, Faculty of Electrical Engineering and Computing, Unska 3, 10000 Zagreb, Croatia 
Domagoj 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/JOLT_2018_28_3_a14/
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     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/JOLT_2018_28_3_a14/}
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