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...
Збережено в:
| Дата: | 2002 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2002
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| Назва видання: | Український математичний журнал |
| Теми: | |
| Онлайн доступ: | 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 |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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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