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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2009 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/149106 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On the Moore Formula of Compact Nilmanifolds / H. Hamrouni // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 12 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862719475520897024 |
|---|---|
| author | Hamrouni, H. |
| author_facet | Hamrouni, H. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T18:20:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149106 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:20:12Z |
| publishDate | 2009 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hamrouni, H. 2019-02-19T17:25:42Z 2019-02-19T17:25:42Z 2009 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 https://nasplib.isofts.kiev.ua/handle/123456789/149106 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. It is great pleasure to thank the anonymous referees for their critical and valuable comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On the Moore Formula of Compact Nilmanifolds Article published earlier |
| spellingShingle | On the Moore Formula of Compact Nilmanifolds Hamrouni, H. |
| title | 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_short | On the Moore Formula of Compact Nilmanifolds |
| title_sort | on the moore formula of compact nilmanifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149106 |
| work_keys_str_mv | AT hamrounih onthemooreformulaofcompactnilmanifolds |