Modular Classes of Lie Groupoid Representations up to Homotopy
We describe a construction of the modular class associated to a representation up to homotopy of a Lie groupoid. In the case of the adjoint representation up to homotopy, this class is the obstruction to the existence of a volume form, in the sense of Weinstein's ''The volume of a dif...
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| Date: | 2015 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2015
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/147129 |
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| Cite this: | Modular Classes of Lie Groupoid Representations up to Homotopy / R.A. Mehta // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 14 назв. — англ. |
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irk-123456789-1471292019-02-14T01:24:54Z Modular Classes of Lie Groupoid Representations up to Homotopy Mehta, R.A. We describe a construction of the modular class associated to a representation up to homotopy of a Lie groupoid. In the case of the adjoint representation up to homotopy, this class is the obstruction to the existence of a volume form, in the sense of Weinstein's ''The volume of a differentiable stack''. 2015 Article Modular Classes of Lie Groupoid Representations up to Homotopy / R.A. Mehta // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 14 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 22A22; 53D17 DOI:10.3842/SIGMA.2015.051 http://dspace.nbuv.gov.ua/handle/123456789/147129 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| language |
English |
| description |
We describe a construction of the modular class associated to a representation up to homotopy of a Lie groupoid. In the case of the adjoint representation up to homotopy, this class is the obstruction to the existence of a volume form, in the sense of Weinstein's ''The volume of a differentiable stack''. |
| format |
Article |
| author |
Mehta, R.A. |
| spellingShingle |
Mehta, R.A. Modular Classes of Lie Groupoid Representations up to Homotopy Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Mehta, R.A. |
| author_sort |
Mehta, R.A. |
| title |
Modular Classes of Lie Groupoid Representations up to Homotopy |
| title_short |
Modular Classes of Lie Groupoid Representations up to Homotopy |
| title_full |
Modular Classes of Lie Groupoid Representations up to Homotopy |
| title_fullStr |
Modular Classes of Lie Groupoid Representations up to Homotopy |
| title_full_unstemmed |
Modular Classes of Lie Groupoid Representations up to Homotopy |
| title_sort |
modular classes of lie groupoid representations up to homotopy |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147129 |
| citation_txt |
Modular Classes of Lie Groupoid Representations up to Homotopy / R.A. Mehta // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 14 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT mehtara modularclassesofliegroupoidrepresentationsuptohomotopy |
| first_indexed |
2025-07-11T01:24:55Z |
| last_indexed |
2025-07-11T01:24:55Z |
| _version_ |
1837311821799751680 |