Deformations of Lie brackets and representations up to homotopy
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2011/10/01
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Journal
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Indian UGC (journal)
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Refrences9
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Citations9
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Camilo Arias Abad
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Florian Schätz
Journal Category
Science
Mathematics
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Lie algebroid structures on double vector bundles and representation theory of Lie algebroids | Advances in Mathematics |
| 56 | 2010 |
| Stability of symplectic leaves | Inventiones mathematicae |
| 12 | 2010 |
| Deformations of Lie brackets: cohomological aspects | Journal of the European Mathematical Society |
| 2008 | |
| Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes | Commentarii Mathematici Helvetici |
| 77 | 2003 |
| Une application d’une méthode de Cartan–Leray | 1955 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 6 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 1 |
The category
Science: Mathematics 6
is the most frequently represented among the references in this article. It primarily includes studies from Commentarii Mathematici Helvetici and Inventiones mathematicae. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
Modules and representations up to homotopy of Lie n-algebroids | Journal of Homotopy and Related Structures |
| 2023 | |
A new cohomology theory for strict Lie 2-algebras | Communications in Contemporary Mathematics |
| 2021 | |
Deformations of Lie Groupoids | International Mathematics Research Notices |
| 7 | 2018 |
Higher extensions of Lie algebroids | Communications in Contemporary Mathematics |
| 1 | 2017 |
| Van Est isomorphism for homogeneous cochains | Pacific Journal of Mathematics |
| 13 | 2017 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 9 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 2 |
| Science: Physics | 1 |
The category
Science: Mathematics 9
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The A∞ de Rham Theorem and Integration of Representations up to Homotopy and was published in 2012. The most recent citation comes from a 2023 study titled Modules and representations up to homotopy of Lie n-algebroids. This article reached its peak citation in 2017, with 2 citations. It has been cited in 7 different journals. Among related journals, the Communications in Contemporary Mathematics cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.