Bai, Chengming; Guo, Li; Sheng, Yunhe; Tang, Rong Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation. (English) Zbl 07808070 Math. Ann. 388, No. 3, 3127-3167 (2024). Reviewer: Lorenzo Stefanello (Pisa) MSC: 22E60 16T25 17B38 65L99 16T05 18M60 PDFBibTeX XMLCite \textit{C. Bai} et al., Math. Ann. 388, No. 3, 3127--3167 (2024; Zbl 07808070) Full Text: DOI arXiv
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming Maurer-Cartan characterizations and cohomologies of compatible Lie algebras. (English) Zbl 1528.17016 Sci. China, Math. 66, No. 6, 1177-1198 (2023). Reviewer: Nenad Manojlović (Faro) MSC: 17B56 17B70 PDFBibTeX XMLCite \textit{J. Liu} et al., Sci. China, Math. 66, No. 6, 1177--1198 (2023; Zbl 1528.17016) Full Text: DOI arXiv
Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe Homotopy Rota-Baxter operators and post-Lie algebras. (English) Zbl 1519.17023 J. Noncommut. Geom. 17, No. 1, 1-35 (2023). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 17B38 17B10 17B56 17A42 55P43 PDFBibTeX XMLCite \textit{R. Tang} et al., J. Noncommut. Geom. 17, No. 1, 1--35 (2023; Zbl 1519.17023) Full Text: DOI arXiv
Bai, Chengming; Guo, Li; Sheng, Yunhe Coherent categorical structures for Lie bialgebras, Manin triples, classical \(r\)-matrices and pre-Lie algebras. (English) Zbl 1500.17021 Forum Math. 34, No. 4, 989-1013 (2022). Reviewer: Alexander B. Levin (Washington) MSC: 17B62 17B38 16T10 16T25 12H10 16W99 57R56 PDFBibTeX XMLCite \textit{C. Bai} et al., Forum Math. 34, No. 4, 989--1013 (2022; Zbl 1500.17021) Full Text: DOI arXiv
Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe Deformations and homotopy of Rota-Baxter operators and \(\mathcal{O}\)-operators on Lie algebras. arXiv:2208.12901 Preprint, arXiv:2208.12901 [math.QA] (2022). MSC: 17B37 81R50 17B56 81R12 17A30 17B62 BibTeX Cite \textit{R. Tang} et al., ``Deformations and homotopy of Rota-Baxter operators and $\mathcal{O}$-operators on Lie algebras'', Preprint, arXiv:2208.12901 [math.QA] (2022) Full Text: DOI arXiv OA License
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming \(F\)-manifold algebras and deformation quantization via pre-Lie algebras. (English) Zbl 1442.17003 J. Algebra 559, 467-495 (2020); corrigendum ibid. 574, 571-572 (2021). Reviewer: Loïc Foissy (Calais) MSC: 17A30 53D55 17B38 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Algebra 559, 467--495 (2020; Zbl 1442.17003) Full Text: DOI arXiv
Liu, Jiefeng; Bai, Chengming; Sheng, Yunhe Noncommutative Poisson bialgebras. (English) Zbl 1475.17038 J. Algebra 556, 35-66 (2020). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B63 17B62 17A30 17B37 17B38 16T10 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Algebra 556, 35--66 (2020; Zbl 1475.17038) Full Text: DOI arXiv
Bai, Chengming; Guo, Li; Sheng, Yunhe Bialgebras, the classical Yang-Baxter equation and Manin triples for 3-Lie algebras. (English) Zbl 1479.17008 Adv. Theor. Math. Phys. 23, No. 1, 27-74 (2019). MSC: 17A40 16T10 16T25 17B62 PDFBibTeX XMLCite \textit{C. Bai} et al., Adv. Theor. Math. Phys. 23, No. 1, 27--74 (2019; Zbl 1479.17008) Full Text: DOI arXiv
Wang, Qi; Sheng, Yunhe; Bai, Chengming; Liu, Jiefeng Nijenhuis operators on pre-Lie algebras. (English) Zbl 1439.17023 Commun. Contemp. Math. 21, No. 7, Article ID 1850050, 37 p. (2019). MSC: 17B60 17B99 17D99 PDFBibTeX XMLCite \textit{Q. Wang} et al., Commun. Contemp. Math. 21, No. 7, Article ID 1850050, 37 p. (2019; Zbl 1439.17023) Full Text: DOI arXiv
Liu, Jiefeng; Bai, Chengming; Sheng, Yunhe Compatible \(\mathcal{O}\)-operators on bimodules over associative algebras. (English) Zbl 1420.13035 J. Algebra 532, 80-118 (2019). Reviewer: Marek Golasiński (Olsztyn) MSC: 13D03 16S80 16T10 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Algebra 532, 80--118 (2019; Zbl 1420.13035) Full Text: DOI
Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe Deformations and their controlling cohomologies of \(\mathcal{O}\)-operators. (English) Zbl 1440.17015 Commun. Math. Phys. 368, No. 2, 665-700 (2019). MSC: 17B55 16T25 17B37 17B38 17B40 17B56 17B62 PDFBibTeX XMLCite \textit{R. Tang} et al., Commun. Math. Phys. 368, No. 2, 665--700 (2019; Zbl 1440.17015) Full Text: DOI arXiv
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming Left-symmetric bialgebroids and their corresponding Manin triples. (English) Zbl 1431.53089 Differ. Geom. Appl. 59, 91-111 (2018). MSC: 53D17 17B62 53D12 53D18 PDFBibTeX XMLCite \textit{J. Liu} et al., Differ. Geom. Appl. 59, 91--111 (2018; Zbl 1431.53089) Full Text: DOI arXiv
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming Pre-symplectic algebroids and their applications. (English) Zbl 1390.17029 Lett. Math. Phys. 108, No. 3, 779-804 (2018). MSC: 17B62 53D12 53D17 53D18 PDFBibTeX XMLCite \textit{J. Liu} et al., Lett. Math. Phys. 108, No. 3, 779--804 (2018; Zbl 1390.17029) Full Text: DOI arXiv
Liu, Jiefeng; Sheng, Yunhe; Bai, Chengming; Chen, Zhiqi Left-symmetric algebroids. (English) Zbl 1354.18003 Math. Nachr. 289, No. 14-15, 1893-1908 (2016). Reviewer: Friedrich Wagemann (Nantes) MSC: 18B40 17B65 PDFBibTeX XMLCite \textit{J. Liu} et al., Math. Nachr. 289, No. 14--15, 1893--1908 (2016; Zbl 1354.18003) Full Text: DOI arXiv
Liu, Jie-Feng; Sheng, Yun-He; Zhou, Yan-Qiu; Bai, Cheng-Ming Nijenhuis operators on \(n\)-Lie algebras. (English) Zbl 1345.17006 Commun. Theor. Phys. 65, No. 6, 659-670 (2016). MSC: 17A42 17B99 PDFBibTeX XMLCite \textit{J.-F. Liu} et al., Commun. Theor. Phys. 65, No. 6, 659--670 (2016; Zbl 1345.17006) Full Text: DOI arXiv
Sheng, Yunhe; Bai, Chengming A new approach to hom-Lie bialgebras. (English) Zbl 1345.17002 J. Algebra 399, 232-250 (2014). MSC: 17A30 PDFBibTeX XMLCite \textit{Y. Sheng} and \textit{C. Bai}, J. Algebra 399, 232--250 (2014; Zbl 1345.17002) Full Text: DOI arXiv
Bai, Chengming; Sheng, Yunhe; Zhu, Chenchang Lie 2-bialgebras. (English) Zbl 1308.17026 Commun. Math. Phys. 320, No. 1, 149-172 (2013). MSC: 17B62 PDFBibTeX XMLCite \textit{C. Bai} et al., Commun. Math. Phys. 320, No. 1, 149--172 (2013; Zbl 1308.17026) Full Text: DOI arXiv