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Communications in Algebra Volume 41, 2013 - Issue 5
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Original Articles

Leibniz 2-Algebras and Twisted Courant Algebroids

Yunhe Sheng Department of Mathematics, Jilin University, Changchun, China
&
Zhangju Liu Department of Mathematics and LMAM, Peking University, Beijing, ChinaCorrespondence[email protected]
Pages 1929-1953 | Received 17 Jan 2011, Published online: 09 May 2013

Citations (17)

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Read on this site (3)

Xiongwei Cai, Zhangju Liu & Maosong Xiang. (2020) Cohomology of hemistrict Lie 2-algebras. Communications in Algebra 48:8, pages 3315-3341.
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Jiefeng Liu, Yunhe Sheng & Qi Wang. (2018) On non-abelian extensions of Leibniz algebras. Communications in Algebra 46:2, pages 574-587.
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Haobo Xia, Yunhe Sheng & Rong Tang. Cohomology and homotopy of Lie triple systems. Communications in Algebra 0:0, pages 1-21.
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Articles from other publishers (14)

Aybike Çatal-Özer, Tekin Dereli & Keremcan Doğan. (2024) Metric-Bourbaki algebroids: Cartan calculus for M-theory. Journal of Geometry and Physics 199, pages 105138.
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Yanhong Guo & Bo Hou. (2023) Crossed modules and non-abelian extensions of Rota-Baxter Leibniz algebras. Journal of Geometry and Physics 191, pages 104906.
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Yunhe Sheng. (2023) Categorification of $ \mathsf{VB} $-Lie algebroids and $ \mathsf{VB} $-Courant algebroids. Journal of Geometric Mechanics 15:1, pages 27-58.
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José Manuel CASAS, Rafael FERNANDEZ-CASADO, Xabier GARCİA MARTİNEZ & Emzar KHMALADZE. (2021) Actor of a crossed module of dialgebras via tetramultipliers. Hacettepe Journal of Mathematics and Statistics 50:4, pages 1063-1078.
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Yunhe Sheng, Rong Tang & Chenchang Zhu. (2021) The Controlling $$L_\infty $$-Algebra, Cohomology and Homotopy of Embedding Tensors and Lie–Leibniz Triples. Communications in Mathematical Physics 386:1, pages 269-304.
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Apurba Das. (2021) Leibniz algebras with derivations. Journal of Homotopy and Related Structures 16:2, pages 245-274.
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Apurba Das. (2021) Contact Courant algebroids and -algebras . Journal of Geometry and Physics 163, pages 104127.
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Chunyue Wang, Zhu Wei & Qingcheng Zhang. (2021) Hom-Leibniz 2-algebras. Asian-European Journal of Mathematics, pages 2250015.
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Andrew James Bruce & Janusz Grabowski. (2019) Pre-Courant algebroids. Journal of Geometry and Physics 142, pages 254-273.
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Yunhe Sheng. (2018) The First Pontryagin Class of a Quadratic Lie 2-Algebroid. Communications in Mathematical Physics 362:2, pages 689-716.
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Rafael Fernández-Casado, Xabier García-Martínez & Manuel Ladra. (2016) A Natural Extension of the Universal Enveloping Algebra Functor to Crossed Modules of Leibniz Algebras. Applied Categorical Structures 25:6, pages 1059-1076.
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Yanqiu Zhou, Yumeng Li & Yunhe Sheng. (2016) 3-Lie∞-algebras and 3-Lie 2-algebras. Journal of Algebra and Its Applications 16:09, pages 1750171.
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Zhangju Liu, Yunhe Sheng & Xiaomeng Xu. (2016) The Pontryagin class for pre-Courant algebroids. Journal of Geometry and Physics 104, pages 148-162.
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Rafael F. Casado, Xabier García-Martínez & Manuel Ladra. (2016) Universal enveloping crossed module of Leibniz crossed modules and representations. Journal of Physics: Conference Series 697, pages 012007.
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