Elementary Representations of the Group B₀Z of Upper-Triangular Matrices Infinite in Both Directions. I

• Veröffentlicht in: Український математичний журнал
• Datum: 2002
• ISSN: 1027-3190
• 1. Verfasser: Kosyak, O.V.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2002
• Schlagworte: Статті
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/163761
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Elementary Representations of the Group B₀Z of Upper-Triangular Matrices Infinite in Both Directions. I / O.V. Kosyak // Український математичний журнал. — 2002. — Т. 54, № 2. — С. 205–216. — Бібліогр.: 15 назв. — англ.

We define so-called “elementary representations of the group B₀Z of finite upper-triangular matrices infinite in both directions by using quasi-invariant measures on certain homogeneous spaces and give a criterion for the irreducibility and equivalence of the representations constructed. We also giv...