On unitary representations of disconnected real reductive groups

Domagoj Kovacevic

On unitary representations of disconnected real reductive groups

Representation Theory 2018-05-09 v1

Authors: Domagoj Kovacevic

Abstract

Let $G$ be the real reductive group and let $G_0$ be the identity component. Let us assume that the unitary dual $\hat{G_0}$ is known. In this paper (in Section 5) the unitary dual $\hat{G}$ is constructed. Automorphisms of $G_0$ 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 4. Automorphisms of $g_0$ are closely related to automorphisms of $G_0$ . They are investigated in Section 3. Automorphisms of so(4,4)$ are analyzed in Subsection 3.1.

Keywords

automorphism groups representation theory of groups group representations

Cite

@article{arxiv.1805.03031,
  title  = {On unitary representations of disconnected real reductive groups},
  author = {Domagoj Kovacevic},
  journal= {arXiv preprint arXiv:1805.03031},
  year   = {2018}
}

On unitary representations of disconnected real reductive groups

Abstract

Keywords

Cite

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