Modular Classes of Lie Groupoid Representations up to Homotopy

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Фізико-технічні та математичні науки
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Відділення математики
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік
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dc.contributor.author	Mehta, R.A.
dc.date.accessioned	2019-02-13T17:11:15Z
dc.date.available	2019-02-13T17:11:15Z
dc.date.issued	2015
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 22A22; 53D17
dc.identifier.other	DOI:10.3842/SIGMA.2015.051
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147129
dc.description.abstract	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''.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Poisson Geometry in Mathematics and Physics. The full collection is available at http://www.emis.de/journals/SIGMA/Poisson2014.html. We thank Ping Xu for helpful comments on a draft of the paper. We also thank the referees for many useful suggestions.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Modular Classes of Lie Groupoid Representations up to Homotopy	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA