Induced Representations and Hypergroupoids
We review various notions of correspondences for locally compact groupoids with Haar systems, in particular a recent definition due to R.D. Holkar. We give the construction of the representations induced by such a correspondence. Finally, we extend the construction of induced representations to hype...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2014 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146682 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Induced Representations and Hypergroupoids / J. Renault // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 29 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862555964471771136 |
|---|---|
| author | Renault, J. |
| author_facet | Renault, J. |
| citation_txt | Induced Representations and Hypergroupoids / J. Renault // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 29 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We review various notions of correspondences for locally compact groupoids with Haar systems, in particular a recent definition due to R.D. Holkar. We give the construction of the representations induced by such a correspondence. Finally, we extend the construction of induced representations to hypergroupoids.
|
| first_indexed | 2025-11-25T22:27:43Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146682 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T22:27:43Z |
| publishDate | 2014 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Renault, J. 2019-02-10T18:08:04Z 2019-02-10T18:08:04Z 2014 Induced Representations and Hypergroupoids / J. Renault // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 29 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 22D30; 22D25; 22A22; 46L08 DOI:10.3842/SIGMA.2014.057 https://nasplib.isofts.kiev.ua/handle/123456789/146682 We review various notions of correspondences for locally compact groupoids with Haar systems, in particular a recent definition due to R.D. Holkar. We give the construction of the representations induced by such a correspondence. Finally, we extend the construction of induced representations to hypergroupoids. I thank S. Echterhof f for the references [7, 8] and J. Brown, R.D. Holkar, G. Nagy and S. Reznikoff
 for fruitful discussions. I thank the referees for their great help to improve the presentation of
 the manuscript. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Induced Representations and Hypergroupoids Article published earlier |
| spellingShingle | Induced Representations and Hypergroupoids Renault, J. |
| title | Induced Representations and Hypergroupoids |
| title_full | Induced Representations and Hypergroupoids |
| title_fullStr | Induced Representations and Hypergroupoids |
| title_full_unstemmed | Induced Representations and Hypergroupoids |
| title_short | Induced Representations and Hypergroupoids |
| title_sort | induced representations and hypergroupoids |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146682 |
| work_keys_str_mv | AT renaultj inducedrepresentationsandhypergroupoids |