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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| Date: | 2002 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2002
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/163761 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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 give a criterion for the irreducibility of the tensor product of finitely many and infinitely many elementary representations. |
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