On the Moore Formula of Compact Nilmanifolds
Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G. In this note, we give a new multiplicity formula, according to the sense of Moore, of irreducible unitary representations involved in the decomposition of the quasi-regular representation IndΓG(1)....
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| Дата: | 2009 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2009
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149106 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the Moore Formula of Compact Nilmanifolds / H. Hamrouni // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 12 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149106 |
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dspace |
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irk-123456789-1491062019-02-20T01:27:54Z On the Moore Formula of Compact Nilmanifolds Hamrouni, H. Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G. In this note, we give a new multiplicity formula, according to the sense of Moore, of irreducible unitary representations involved in the decomposition of the quasi-regular representation IndΓG(1). Extending then the Abelian case. 2009 Article On the Moore Formula of Compact Nilmanifolds / H. Hamrouni // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 12 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 22E27 http://dspace.nbuv.gov.ua/handle/123456789/149106 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let G be a connected and simply connected two-step nilpotent Lie group and Γ a lattice subgroup of G. In this note, we give a new multiplicity formula, according to the sense of Moore, of irreducible unitary representations involved in the decomposition of the quasi-regular representation IndΓG(1). Extending then the Abelian case. |
| format |
Article |
| author |
Hamrouni, H. |
| spellingShingle |
Hamrouni, H. On the Moore Formula of Compact Nilmanifolds Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Hamrouni, H. |
| author_sort |
Hamrouni, H. |
| title |
On the Moore Formula of Compact Nilmanifolds |
| title_short |
On the Moore Formula of Compact Nilmanifolds |
| title_full |
On the Moore Formula of Compact Nilmanifolds |
| title_fullStr |
On the Moore Formula of Compact Nilmanifolds |
| title_full_unstemmed |
On the Moore Formula of Compact Nilmanifolds |
| title_sort |
on the moore formula of compact nilmanifolds |
| publisher |
Інститут математики НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149106 |
| citation_txt |
On the Moore Formula of Compact Nilmanifolds / H. Hamrouni // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 12 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT hamrounih onthemooreformulaofcompactnilmanifolds |
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2023-05-20T17:32:21Z |
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2023-05-20T17:32:21Z |
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1796153520744824832 |