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

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...

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Datum:2002
1. Verfasser: Kosyak, O.V.
Format: Artikel
Sprache:English
Veröffentlicht: Інститут математики НАН України 2002
Schriftenreihe:Український математичний журнал
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Online Zugang:http://dspace.nbuv.gov.ua/handle/123456789/163761
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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.

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