Journal of Lie Theory

no. 3
On Unitary Representations of Disconnected Real Reductive Groups
Journal of Lie Theory, Volume 28 (2018) no. 3, pp. 865-884
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.
DOI: 10.5802/jolt.1030
Classification: 17B10, 22E47
Keywords: Real Lie groups, representations, disconnected groups, automorphisms 
@article{JOLT_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},
     doi = {10.5802/jolt.1030},
     zbl = {1423.22016},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1030/}
}
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D. Kovacevic. On Unitary Representations of Disconnected Real Reductive Groups. Journal of Lie Theory, Volume 28 (2018) no. 3, pp. 865-884. doi: 10.5802/jolt.1030

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