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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Modular Classes of Lie Groupoid Representations up to Homotopy

Інший ID: 2010 Mathematics Subject Classification: 22A22; 53D17
DOI:10.3842/SIGMA.2015.051

URI: http://dspace.nbuv.gov.ua/handle/123456789/147129

Посилання: 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.

Підтримка: 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.

Дата: 2015

Завантажень: 267

Modular Classes of Lie Groupoid Representations up to Homotopy

Анотація:

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''.

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