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Pregled bibliografske jedinice broj: 1025907

On Unitary Representations of Disconnected Real Reductive Groups


Kovačević, Domagoj
On Unitary Representations of Disconnected Real Reductive Groups // Journal of lie theory, 28 (2018), 865-884 (međunarodna recenzija, članak, znanstveni)


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Naslov
On Unitary Representations of Disconnected Real Reductive Groups

Autori
Kovačević, Domagoj

Izvornik
Journal of lie theory (0949-5932) 28 (2018); 865-884

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Real Lie groups, representations, disconnected groups, automorpisms

Sažetak
Let G be the real reductive group and let G0 be the identity component. Let us assume that the unitary dual of G0 is known. In this paper (in Sections 6-9) the unitary dual of 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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
KK.01.1.1.01.0004

Ustanove:
Fakultet elektrotehnike i računarstva, Zagreb

Profili:

Avatar Url Domagoj Kovačević (autor)

Poveznice na cjeloviti tekst rada:

arxiv.org

Citiraj ovu publikaciju:

Kovačević, Domagoj
On Unitary Representations of Disconnected Real Reductive Groups // Journal of lie theory, 28 (2018), 865-884 (međunarodna recenzija, članak, znanstveni)
Kovačević, D. (2018) On Unitary Representations of Disconnected Real Reductive Groups. Journal of lie theory, 28, 865-884.
@article{article, author = {Kova\v{c}evi\'{c}, Domagoj}, year = {2018}, pages = {865-884}, keywords = {Real Lie groups, representations, disconnected groups, automorpisms}, journal = {Journal of lie theory}, volume = {28}, issn = {0949-5932}, title = {On Unitary Representations of Disconnected Real Reductive Groups}, keyword = {Real Lie groups, representations, disconnected groups, automorpisms} }
@article{article, author = {Kova\v{c}evi\'{c}, Domagoj}, year = {2018}, pages = {865-884}, keywords = {Real Lie groups, representations, disconnected groups, automorpisms}, journal = {Journal of lie theory}, volume = {28}, issn = {0949-5932}, title = {On Unitary Representations of Disconnected Real Reductive Groups}, keyword = {Real Lie groups, representations, disconnected groups, automorpisms} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus





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