Tang, Rong; Bai, Chengming; Guo, Li; Sheng, Yunhe Homotopy Rota-Baxter operators and post-Lie algebras. (English) Zbl 07687929 J. Noncommut. Geom. 17, No. 1, 1-35 (2023). MSC: 17B38 17B10 17B56 17A42 55P43 PDF BibTeX XML Cite \textit{R. Tang} et al., J. Noncommut. Geom. 17, No. 1, 1--35 (2023; Zbl 07687929) Full Text: DOI arXiv OpenURL
Muro, Fernando Derived universal Massey products. (English) Zbl 07681901 Homology Homotopy Appl. 25, No. 1, 189-218 (2023). MSC: 13D03 16E40 17B56 55S20 PDF BibTeX XML Cite \textit{F. Muro}, Homology Homotopy Appl. 25, No. 1, 189--218 (2023; Zbl 07681901) Full Text: DOI arXiv OpenURL
Song, Lina; Lai, Shuang; Liu, Shanshan Diagonal abelian extensions and morphism-fixed formal deformations of Hom-pre-Lie algebras. (English) Zbl 07675439 Commun. Algebra 51, No. 6, 2243-2256 (2023). MSC: 17B61 17D30 PDF BibTeX XML Cite \textit{L. Song} et al., Commun. Algebra 51, No. 6, 2243--2256 (2023; Zbl 07675439) Full Text: DOI OpenURL
Amini, Massoud; Heydari, Abbas; Toomanian, Megerdich Lie hyperalgebras. (English) Zbl 07673925 Anal. Math. Phys. 13, No. 2, Paper No. 39, 22 p. (2023). MSC: 17B60 43A62 57T15 PDF BibTeX XML Cite \textit{M. Amini} et al., Anal. Math. Phys. 13, No. 2, Paper No. 39, 22 p. (2023; Zbl 07673925) Full Text: DOI OpenURL
Chen, Ming; Liu, Jiefeng; Ma, Yao Lie \(n\)-algebras and cohomologies of relative Rota-Baxter operators on \(n\)-Lie algebras. (English) Zbl 07673056 J. Geom. Phys. 187, Article ID 104785, 24 p. (2023). MSC: 17A42 17A60 17B38 18G60 PDF BibTeX XML Cite \textit{M. Chen} et al., J. Geom. Phys. 187, Article ID 104785, 24 p. (2023; Zbl 07673056) Full Text: DOI arXiv OpenURL
Briggs, Benjamin; Rubio y Degrassi, Lleonard Maximal tori in \(\mathrm{HH}^1\) and the fundamental group. (English) Zbl 07673010 Int. Math. Res. Not. 2023, No. 7, 5538-5568 (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B56 16E40 PDF BibTeX XML Cite \textit{B. Briggs} and \textit{L. Rubio y Degrassi}, Int. Math. Res. Not. 2023, No. 7, 5538--5568 (2023; Zbl 07673010) Full Text: DOI arXiv OpenURL
Lin, Jie; Chen, Liangyun Quasi-derivations of Lie-Yamaguti algebras. (English) Zbl 07667273 J. Algebra Appl. 22, No. 5, Article ID 2350119, 14 p. (2023). Reviewer: Alberto Elduque (Zaragoza) MSC: 17A40 17A30 17B60 17B56 PDF BibTeX XML Cite \textit{J. Lin} and \textit{L. Chen}, J. Algebra Appl. 22, No. 5, Article ID 2350119, 14 p. (2023; Zbl 07667273) Full Text: DOI arXiv OpenURL
Zhao, Jia; Qiao, Yu Cohomology and relative Rota-Baxter-Nijenhuis structures on \(\mathsf{LieYRep}\) pairs. (English) Zbl 07665448 J. Geom. Phys. 186, Article ID 104749, 24 p. (2023). MSC: 17B38 17B60 17A99 PDF BibTeX XML Cite \textit{J. Zhao} and \textit{Y. Qiao}, J. Geom. Phys. 186, Article ID 104749, 24 p. (2023; Zbl 07665448) Full Text: DOI arXiv OpenURL
Ma, Qingfeng; Song, Lina; Wang, You Non-abelian extensions of pre-Lie algebras. (English) Zbl 07664516 Commun. Algebra 51, No. 4, 1370-1382 (2023). Reviewer: Loïc Foissy (Calais) MSC: 17A30 17B99 PDF BibTeX XML Cite \textit{Q. Ma} et al., Commun. Algebra 51, No. 4, 1370--1382 (2023; Zbl 07664516) Full Text: DOI OpenURL
Tang, Rong; Sheng, Yunhe Nonabelian embedding tensors. (English) Zbl 07661049 Lett. Math. Phys. 113, No. 1, Paper No. 14, 22 p. (2023). MSC: 17A32 17B38 17B40 17B56 PDF BibTeX XML Cite \textit{R. Tang} and \textit{Y. Sheng}, Lett. Math. Phys. 113, No. 1, Paper No. 14, 22 p. (2023; Zbl 07661049) Full Text: DOI arXiv OpenURL
Steinberg, Benjamin Twists, crossed products and inverse semigroup cohomology. (English) Zbl 07661046 J. Aust. Math. Soc. 114, No. 2, 253-288 (2023). MSC: 20M18 16S99 22A22 20M25 20M50 PDF BibTeX XML Cite \textit{B. Steinberg}, J. Aust. Math. Soc. 114, No. 2, 253--288 (2023; Zbl 07661046) Full Text: DOI arXiv OpenURL
Hou, Shuai; Sheng, Yunhe Cohomologies of Reynolds operators on \(n\)-Lie algebras. (English) Zbl 07658086 Commun. Algebra 51, No. 2, 779-798 (2023). MSC: 17B56 17B40 17A42 PDF BibTeX XML Cite \textit{S. Hou} and \textit{Y. Sheng}, Commun. Algebra 51, No. 2, 779--798 (2023; Zbl 07658086) Full Text: DOI OpenURL
Abdaoui, Meher Invariant bilinear operators and the second \(\mathfrak{sl}(2)\)-relative cohomology of the Lie algebra of vector fields on \(\mathbb{R}\). (English) Zbl 07657696 J. Algebra Appl. 22, No. 2, Article ID 2350052, 21 p. (2023). Reviewer: Andrea Galasso (Taipei) MSC: 53D55 14F10 17B10 17B68 PDF BibTeX XML Cite \textit{M. Abdaoui}, J. Algebra Appl. 22, No. 2, Article ID 2350052, 21 p. (2023; Zbl 07657696) Full Text: DOI OpenURL
Sugiyama, Yuki On equivariant index of a generalized Bott manifold. (English) Zbl 07653604 Osaka J. Math. 60, No. 1, 227-237 (2023). MSC: 14M25 52B20 57S12 55N30 20C33 PDF BibTeX XML Cite \textit{Y. Sugiyama}, Osaka J. Math. 60, No. 1, 227--237 (2023; Zbl 07653604) Full Text: arXiv Link OpenURL
Guo, Shuangjian; Qin, Yufei; Wang, Kai; Zhou, Guodong Deformations and cohomology theory of Rota-Baxter 3-Lie algebras of arbitrary weights. (English) Zbl 1506.17015 J. Geom. Phys. 183, Article ID 104704, 24 p. (2023). Reviewer: Yining Zhang (Singapore) MSC: 17B38 16E40 16S80 16S70 PDF BibTeX XML Cite \textit{S. Guo} et al., J. Geom. Phys. 183, Article ID 104704, 24 p. (2023; Zbl 1506.17015) Full Text: DOI arXiv OpenURL
Hou, Shuai; Sheng, Yunhe; Zhou, Yanqiu 3-post-Lie algebras and relative Rota-Baxter operators of nonzero weight on 3-Lie algebras. (English) Zbl 07622328 J. Algebra 615, 103-129 (2023). MSC: 17A42 17B56 17B38 PDF BibTeX XML Cite \textit{S. Hou} et al., J. Algebra 615, 103--129 (2023; Zbl 07622328) Full Text: DOI OpenURL
Jiang, Jun; Sheng, Yunhe Deformations, cohomologies and integrations of relative difference Lie algebras. (English) Zbl 07615779 J. Algebra 614, 535-563 (2023). MSC: 17-XX PDF BibTeX XML Cite \textit{J. Jiang} and \textit{Y. Sheng}, J. Algebra 614, 535--563 (2023; Zbl 07615779) Full Text: DOI arXiv OpenURL
Latorre, Adela; Ugarte, Luis; Villacampa, Raquel Complex structures on nilpotent Lie algebras with one-dimensional center. (English) Zbl 07615771 J. Algebra 614, 271-306 (2023). MSC: 17B30 53C30 53C15 PDF BibTeX XML Cite \textit{A. Latorre} et al., J. Algebra 614, 271--306 (2023; Zbl 07615771) Full Text: DOI arXiv OpenURL
Zhao, Jia; Liu, Jiefeng; Sheng, Yunhe Cohomologies and relative Rota-Baxter-Nijenhuis structures of 3-LieRep pairs. (English) Zbl 07678679 Linear Multilinear Algebra 70, No. 21, 6240-6264 (2022). MSC: 17B05 17B56 PDF BibTeX XML Cite \textit{J. Zhao} et al., Linear Multilinear Algebra 70, No. 21, 6240--6264 (2022; Zbl 07678679) Full Text: DOI OpenURL
Liu, Shanshan; Makhlouf, Abdenacer; Song, Lina The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras. (English) Zbl 07675742 Electron Res. Arch. 30, No. 8, 2748-2773 (2022). MSC: 06-XX 14-XX PDF BibTeX XML Cite \textit{S. Liu} et al., Electron Res. Arch. 30, No. 8, 2748--2773 (2022; Zbl 07675742) Full Text: DOI arXiv OpenURL
Bilich, B. I. Taylor spectrum for modules over Lie algebras. (English. Russian original) Zbl 07675107 Funct. Anal. Appl. 56, No. 3, 159-168 (2022); translation from Funkts. Anal. Prilozh. 56, No. 3, 3-15 (2022). MSC: 47-XX PDF BibTeX XML Cite \textit{B. I. Bilich}, Funct. Anal. Appl. 56, No. 3, 159--168 (2022; Zbl 07675107); translation from Funkts. Anal. Prilozh. 56, No. 3, 3--15 (2022) Full Text: DOI arXiv OpenURL
Briggs, Benjamin; Rubio y Degrassi, Lleonard Stable invariance of the restricted Lie algebra structure of Hochschild cohomology. (English) Zbl 07660882 Pac. J. Math. 321, No. 1, 45-71 (2022). Reviewer: Janina C. Letz (Bielefeld) MSC: 13D03 16D90 16E40 17B50 PDF BibTeX XML Cite \textit{B. Briggs} and \textit{L. Rubio y Degrassi}, Pac. J. Math. 321, No. 1, 45--71 (2022; Zbl 07660882) Full Text: DOI arXiv OpenURL
Guo, Li; Li, Yunnan; Sheng, Yunhe; Zhou, Guodong Cohomologies, extensions and deformations of differential algebras of arbitrary weight. (English) Zbl 07650582 Theory Appl. Categ. 38, 1409-1433 (2022). MSC: 16E40 16S80 12H05 12H10 16W25 16S70 PDF BibTeX XML Cite \textit{L. Guo} et al., Theory Appl. Categ. 38, 1409--1433 (2022; Zbl 07650582) Full Text: arXiv Link OpenURL
Basdouri, Imed; Hamdouni, Abdelkader; Nasri, Elamine; Missaoui, Amira First cohomology of the Lie algebra of vector fields on the affine real line relative to affine vector fields with coefficients in bilinear differential operators on weighted densities. (English) Zbl 07648457 Bull. Iran. Math. Soc. 48, No. 6, 3269-3283 (2022). MSC: 17B56 53D55 58H15 PDF BibTeX XML Cite \textit{I. Basdouri} et al., Bull. Iran. Math. Soc. 48, No. 6, 3269--3283 (2022; Zbl 07648457) Full Text: DOI OpenURL
Rakviashvili, Giorgi Low dimensional cohomologies of biparabolic subalgebras. (English) Zbl 07641280 Adv. Stud.: Euro-Tbil. Math. J. 15, No. 4, 155-160 (2022). MSC: 17B20 17B56 17B99 PDF BibTeX XML Cite \textit{G. Rakviashvili}, Adv. Stud.: Euro-Tbil. Math. J. 15, No. 4, 155--160 (2022; Zbl 07641280) Full Text: DOI Link OpenURL
Cai, Xiongwei; Chen, Zhuo; Xiang, Maosong The standard cohomology of regular Courant algebroids. (English) Zbl 1504.58005 Adv. Math. 411 A, Article ID 108776, 58 p. (2022). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58A50 53D17 16E45 17B63 17B70 18G40 PDF BibTeX XML Cite \textit{X. Cai} et al., Adv. Math. 411 A, Article ID 108776, 58 p. (2022; Zbl 1504.58005) Full Text: DOI arXiv OpenURL
Bottini, Alessio The Looijenga-Lunts-Verbitsky algebra and Verbitsky’s theorem. (English) Zbl 1505.32030 Milan J. Math. 90, No. 2, 403-416 (2022). MSC: 32J27 16W25 PDF BibTeX XML Cite \textit{A. Bottini}, Milan J. Math. 90, No. 2, 403--416 (2022; Zbl 1505.32030) Full Text: DOI arXiv OpenURL
Millionshchikov, D. V. Homology and cohomology of the lamplighter Lie algebra. (English. Russian original) Zbl 07620335 Proc. Steklov Inst. Math. 318, 150-160 (2022); translation from Tr. Mat. Inst. Steklova 318, 166-176 (2022). MSC: 17-XX 53-XX PDF BibTeX XML Cite \textit{D. V. Millionshchikov}, Proc. Steklov Inst. Math. 318, 150--160 (2022; Zbl 07620335); translation from Tr. Mat. Inst. Steklova 318, 166--176 (2022) Full Text: DOI OpenURL
Gorbatsevich, V. V. On the isomorphism and diffeomorphism of compact semisimple Lie groups. (English. Russian original) Zbl 1507.57029 Math. Notes 112, No. 3, 388-392 (2022); translation from Mat. Zametki 112, No. 3, 384-390 (2022). Reviewer: Daniele Angella (Firenze) MSC: 57T20 PDF BibTeX XML Cite \textit{V. V. Gorbatsevich}, Math. Notes 112, No. 3, 388--392 (2022; Zbl 1507.57029); translation from Mat. Zametki 112, No. 3, 384--390 (2022) Full Text: DOI OpenURL
Ginot, Grégory; Gwilliam, Owen; Hamilton, Alastair; Zeinalian, Mahmoud Large \(N\) phenomena and quantization of the Loday-Quillen-Tsygan theorem. (English) Zbl 1502.18032 Adv. Math. 409 A, Article ID 108631, 63 p. (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 18G70 58D29 81S10 81T32 16E40 PDF BibTeX XML Cite \textit{G. Ginot} et al., Adv. Math. 409 A, Article ID 108631, 63 p. (2022; Zbl 1502.18032) Full Text: DOI arXiv OpenURL
Hazrat, Roozbeh; Li, Huanhuan Homology of étale groupoids a graded approach. (English) Zbl 07594507 J. Algebra 611, 589-629 (2022). MSC: 22A22 18B40 19D55 PDF BibTeX XML Cite \textit{R. Hazrat} and \textit{H. Li}, J. Algebra 611, 589--629 (2022; Zbl 07594507) Full Text: DOI arXiv OpenURL
Stanislas, Herinantenaina R.; Grégoire, Ravelonirina H. Sammy On Lie algebras defined by a vector-valued 1-form. (English) Zbl 1503.17023 Palest. J. Math. 11, No. 3, 298-307 (2022). MSC: 17B56 17B66 PDF BibTeX XML Cite \textit{H. R. Stanislas} and \textit{R. H. S. Grégoire}, Palest. J. Math. 11, No. 3, 298--307 (2022; Zbl 1503.17023) Full Text: Link OpenURL
Das, Apurba Compatible \(L_\infty \)-algebras. (English) Zbl 07588358 J. Algebra 610, 241-269 (2022). MSC: 17B56 18N25 18N40 PDF BibTeX XML Cite \textit{A. Das}, J. Algebra 610, 241--269 (2022; Zbl 07588358) Full Text: DOI arXiv OpenURL
Aristov, O. Yu. Sheaves of noncommutative smooth and holomorphic functions associated with the non-abelian two-dimensional Lie algebra. (English. Russian original) Zbl 1504.46057 Math. Notes 112, No. 1, 17-25 (2022); translation from Mat. Zametki 112, No. 1, 20-30 (2022). MSC: 46H30 46M20 46M40 47A13 17B99 PDF BibTeX XML Cite \textit{O. Yu. Aristov}, Math. Notes 112, No. 1, 17--25 (2022; Zbl 1504.46057); translation from Mat. Zametki 112, No. 1, 20--30 (2022) Full Text: DOI arXiv OpenURL
Chirvasitu, Alexandru A characteristic-index inequality for closed embeddings of locally compact groups. (English) Zbl 1506.22005 J. Lie Theory 32, No. 3, 697-708 (2022). MSC: 22D05 22E15 22E60 57T15 55T10 PDF BibTeX XML Cite \textit{A. Chirvasitu}, J. Lie Theory 32, No. 3, 697--708 (2022; Zbl 1506.22005) Full Text: arXiv Link OpenURL
Jeralds, Samuel; Kumar, Shrawan Root components for tensor product of affine Kac-Moody Lie algebra modules. (English) Zbl 1493.14076 Represent. Theory 26, 825-858 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 14M15 14M17 20G44 22E47 PDF BibTeX XML Cite \textit{S. Jeralds} and \textit{S. Kumar}, Represent. Theory 26, 825--858 (2022; Zbl 1493.14076) Full Text: DOI arXiv OpenURL
Pallier, Gabriel On the logarithmic coarse structures of Lie groups and hyperbolic spaces. (English) Zbl 07571571 Geom. Dedicata 216, No. 5, Paper No. 56, 47 p. (2022). MSC: 20F69 20F67 22E25 PDF BibTeX XML Cite \textit{G. Pallier}, Geom. Dedicata 216, No. 5, Paper No. 56, 47 p. (2022; Zbl 07571571) Full Text: DOI arXiv OpenURL
Beaudry, Agnès; Goerss, Paul G.; Hopkins, Michael J.; Stojanoska, Vesna Dualizing spheres for compact \(p\)-adic analytic groups and duality in chromatic homotopy. (English) Zbl 1504.55011 Invent. Math. 229, No. 3, 1301-1434 (2022). Reviewer: Ningchuan Zhang (Philadelphia) MSC: 55P92 55R25 55R50 55U30 20E18 22E41 PDF BibTeX XML Cite \textit{A. Beaudry} et al., Invent. Math. 229, No. 3, 1301--1434 (2022; Zbl 1504.55011) Full Text: DOI arXiv OpenURL
Jmaa, Torkia Ben; Makhlouf, Abdenacer; Saadaoui, Nejib Current Hom-Lie algebras. (English) Zbl 1497.17029 Acta Comment. Univ. Tartu. Math. 26, No. 1, 103-127 (2022). Reviewer: Pasha Zusmanovich (Ostrava) MSC: 17B61 17B10 17B40 17B56 PDF BibTeX XML Cite \textit{T. B. Jmaa} et al., Acta Comment. Univ. Tartu. Math. 26, No. 1, 103--127 (2022; Zbl 1497.17029) Full Text: DOI OpenURL
Zhang, Tao; Zhang, Heyu Crossed modules for Hom-Lie antialgebras. (English) Zbl 1500.17018 J. Algebra Appl. 21, No. 7, Article ID 2250135, 23 p. (2022). Reviewer: Pasha Zusmanovich (Ostrava) MSC: 17B55 17B61 18G45 PDF BibTeX XML Cite \textit{T. Zhang} and \textit{H. Zhang}, J. Algebra Appl. 21, No. 7, Article ID 2250135, 23 p. (2022; Zbl 1500.17018) Full Text: DOI arXiv OpenURL
Tan, Youjun; Xu, Senrong Quasi-trace functions on Lie algebras and their applications to 3-Lie algebras. (English) Zbl 07547220 Czech. Math. J. 72, No. 2, 559-591 (2022). MSC: 17B05 17A42 17A32 17B56 PDF BibTeX XML Cite \textit{Y. Tan} and \textit{S. Xu}, Czech. Math. J. 72, No. 2, 559--591 (2022; Zbl 07547220) Full Text: DOI OpenURL
Teng, Wen; You, Taijie Derivations and deformations of Lie-Yamaguti color algebras. (English) Zbl 1499.17008 J. Math. Res. Appl. 42, No. 1, 15-30 (2022). MSC: 17A36 17A40 17B10 17B56 PDF BibTeX XML Cite \textit{W. Teng} and \textit{T. You}, J. Math. Res. Appl. 42, No. 1, 15--30 (2022; Zbl 1499.17008) Full Text: DOI OpenURL
Félix, Y.; Murillo, A. The homology of the lamplighter Lie algebra. (English. Russian original) Zbl 1506.17018 Algebra Logic 60, No. 6, 425-432 (2022); translation from Algebra Logika 60, No. 6, 636-646 (2021). Reviewer: Le Anh Vu (Ho Chi Minh City) MSC: 17B56 17B65 20E22 PDF BibTeX XML Cite \textit{Y. Félix} and \textit{A. Murillo}, Algebra Logic 60, No. 6, 425--432 (2022; Zbl 1506.17018); translation from Algebra Logika 60, No. 6, 636--646 (2021) Full Text: DOI arXiv OpenURL
Powell, Geoffrey Homological splitting results for modules over Leibniz algebras. (English) Zbl 07541249 J. Algebra 606, 209-242 (2022). Reviewer: Friedrich Wagemann (Nantes) MSC: 17A32 17B55 PDF BibTeX XML Cite \textit{G. Powell}, J. Algebra 606, 209--242 (2022; Zbl 07541249) Full Text: DOI arXiv OpenURL
Wu, Henan; Luo, Lipeng Cohomology of the Schrödinger-Virasoro conformal algebra. (English) Zbl 07537344 Int. J. Math. 33, No. 6, Article ID 2250041, 16 p. (2022). MSC: 17B56 17B65 17B68 PDF BibTeX XML Cite \textit{H. Wu} and \textit{L. Luo}, Int. J. Math. 33, No. 6, Article ID 2250041, 16 p. (2022; Zbl 07537344) Full Text: DOI arXiv OpenURL
Guo, Shuangjian; Saha, Ripan On 3-Lie algebras with a derivation. (English) Zbl 1498.17005 Afr. Mat. 33, No. 2, Paper No. 60, 15 p. (2022). MSC: 17A42 17B10 17B40 17B56 PDF BibTeX XML Cite \textit{S. Guo} and \textit{R. Saha}, Afr. Mat. 33, No. 2, Paper No. 60, 15 p. (2022; Zbl 1498.17005) Full Text: DOI arXiv OpenURL
Borovoi, Mikhail; de Graaf, Willem A.; Lê, Hông Vân Classification of real trivectors in dimension nine. (English) Zbl 1489.15020 J. Algebra 603, 118-163 (2022). Reviewer: Julio Benítez Lopez (Valencia) MSC: 15A21 11E72 20G05 20G20 PDF BibTeX XML Cite \textit{M. Borovoi} et al., J. Algebra 603, 118--163 (2022; Zbl 1489.15020) Full Text: DOI arXiv OpenURL
Yang, Yu; Chen, Sheng; Tang, Xiaomin Structures of generalized loop planar Galilean conformal algebras. (English) Zbl 07517771 Commun. Algebra 50, No. 6, 2517-2531 (2022). MSC: 17B81 17B05 17B40 17B65 17B68 PDF BibTeX XML Cite \textit{Y. Yang} et al., Commun. Algebra 50, No. 6, 2517--2531 (2022; Zbl 07517771) Full Text: DOI OpenURL
Ibraev, Sherali Sh. Cohomology of \(\mathfrak{sl}_3\) and \(\mathfrak{gl}_3\) with coefficients in simple modules and Weyl modules in positive characteristics. (English) Zbl 1492.17011 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 026, 17 p. (2022). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 17B20 17B45 20G05 PDF BibTeX XML Cite \textit{S. Sh. Ibraev}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 026, 17 p. (2022; Zbl 1492.17011) Full Text: DOI arXiv OpenURL
Jiang, Jun; Sheng, Yunhe Representations and cohomologies of relative Rota-Baxter Lie algebras and applications. (English) Zbl 1500.17016 J. Algebra 602, 637-670 (2022). Reviewer: Shanghua Zheng (Nanchang) MSC: 17B38 PDF BibTeX XML Cite \textit{J. Jiang} and \textit{Y. Sheng}, J. Algebra 602, 637--670 (2022; Zbl 1500.17016) Full Text: DOI arXiv OpenURL
Chen, Liangyun; Liu, Meijun; Liu, Jiefeng Cohomologies and crossed modules for pre-Lie Rinehart algebras. (English) Zbl 1505.17001 J. Geom. Phys. 176, Article ID 104501, 19 p. (2022). Reviewer: Christopher P. Bendel (Menomonie) MSC: 17A30 17A65 17B63 17B56 PDF BibTeX XML Cite \textit{L. Chen} et al., J. Geom. Phys. 176, Article ID 104501, 19 p. (2022; Zbl 1505.17001) Full Text: DOI arXiv OpenURL
Campoamor-Stursberg, R.; Oviaño García, F. Algorithmic construction of solvable rigid Lie algebras determined by generating functions. (English) Zbl 07506366 Linear Multilinear Algebra 70, No. 2, 280-296 (2022). MSC: 17B30 17B56 PDF BibTeX XML Cite \textit{R. Campoamor-Stursberg} and \textit{F. Oviaño García}, Linear Multilinear Algebra 70, No. 2, 280--296 (2022; Zbl 07506366) Full Text: DOI OpenURL
Karadağ, Tekin; Witherspoon, Sarah Lie brackets on Hopf algebra cohomology. (English) Zbl 07505233 Pac. J. Math. 316, No. 2, 395-407 (2022). MSC: 17B55 17B56 17B70 18M15 18M20 PDF BibTeX XML Cite \textit{T. Karadağ} and \textit{S. Witherspoon}, Pac. J. Math. 316, No. 2, 395--407 (2022; Zbl 07505233) Full Text: DOI arXiv OpenURL
Ornea, Liviu; Verbitsky, Misha Twisted Dolbeault cohomology of nilpotent Lie algebras. (English) Zbl 1501.17018 Transform. Groups 27, No. 1, 225-238 (2022). Reviewer: Anna Fino (Torino) MSC: 17B56 17B30 53C56 PDF BibTeX XML Cite \textit{L. Ornea} and \textit{M. Verbitsky}, Transform. Groups 27, No. 1, 225--238 (2022; Zbl 1501.17018) Full Text: DOI arXiv OpenURL
Mukherjee, Goutam; Saha, Ripan Equivariant one-parameter formal deformations of Hom-Leibniz algebras. (English) Zbl 07499774 Commun. Contemp. Math. 24, No. 3, Article ID 2050082, 27 p. (2022). MSC: 17A30 17A32 17B56 55N91 PDF BibTeX XML Cite \textit{G. Mukherjee} and \textit{R. Saha}, Commun. Contemp. Math. 24, No. 3, Article ID 2050082, 27 p. (2022; Zbl 07499774) Full Text: DOI arXiv OpenURL
Chen, Ming; Wang, Qi; Xu, Senrong Some results on quasi-trace functions on (pre-)Lie algebras. (English) Zbl 1503.17008 J. Lie Theory 32, No. 2, 413-430 (2022). Reviewer: Huafeng Zhang (Villeneuve d’Ascq) MSC: 17A42 17A60 17B38 17B56 PDF BibTeX XML Cite \textit{M. Chen} et al., J. Lie Theory 32, No. 2, 413--430 (2022; Zbl 1503.17008) Full Text: Link OpenURL
Ayupov, Sh. A.; Khudoyberdiyev, A. Kh.; Shermatova, Z. Kh. On complete Leibniz algebras. (English) Zbl 1492.17004 Int. J. Algebra Comput. 32, No. 2, 265-288 (2022). Reviewer: Rutwig Campoamor Stursberg (Madrid) MSC: 17A32 17A36 17B30 17B56 PDF BibTeX XML Cite \textit{Sh. A. Ayupov} et al., Int. J. Algebra Comput. 32, No. 2, 265--288 (2022; Zbl 1492.17004) Full Text: DOI OpenURL
Guo, Shuangjian; Zhang, Xiaohui; Wang, Shengxiang On 3-Hom-Lie-Rinehart algebras. (English) Zbl 07488671 Commun. Algebra 50, No. 4, 1407-1425 (2022). MSC: 17B61 17A30 17A40 17B56 PDF BibTeX XML Cite \textit{S. Guo} et al., Commun. Algebra 50, No. 4, 1407--1425 (2022; Zbl 07488671) Full Text: DOI arXiv OpenURL
Edalatzadeh, Behrouz; Javan, Arash; Salemkar, Ali Reza Non-abelian tensor product of precrossed modules in Lie algebras, structure and applications. (English) Zbl 1497.18018 Commun. Algebra 50, No. 3, 927-939 (2022). Reviewer: George Janelidze (Cape Town) MSC: 18G50 17B55 17B56 18G45 19C09 18G90 PDF BibTeX XML Cite \textit{B. Edalatzadeh} et al., Commun. Algebra 50, No. 3, 927--939 (2022; Zbl 1497.18018) Full Text: DOI OpenURL
Mishra, Satyendra Kumar; Mukherjee, Goutam; Naolekar, Anita Cohomology and deformations of Filippov algebroids. (English) Zbl 1503.17009 Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 2, 25 p. (2022). Reviewer: Iakovos Androulidakis (Athína) MSC: 17A42 17A30 17B55 PDF BibTeX XML Cite \textit{S. K. Mishra} et al., Proc. Indian Acad. Sci., Math. Sci. 132, No. 1, Paper No. 2, 25 p. (2022; Zbl 1503.17009) Full Text: DOI arXiv OpenURL
Chernov, Vladimir V. Graded Poisson algebras on bordism groups of garlands. (English) Zbl 1485.57025 Topology Appl. 305, Article ID 107919, 36 p. (2022). Reviewer: Xiaojun Chen (Chengdu) MSC: 57R19 57R45 55N22 55N45 55P99 57K20 17B63 17B70 57N70 57R85 PDF BibTeX XML Cite \textit{V. V. Chernov}, Topology Appl. 305, Article ID 107919, 36 p. (2022; Zbl 1485.57025) Full Text: DOI arXiv OpenURL
Armstrong, Becky; Clark, Lisa Orloff; Courtney, Kristin; Lin, Ying-Fen; McCormick, Kathryn; Ramagge, Jacqui Twisted Steinberg algebras. (English) Zbl 1490.16071 J. Pure Appl. Algebra 226, No. 3, Article ID 106853, 33 p. (2022). Reviewer: Enrique Pardo Espino (Cádiz) MSC: 16S99 22A22 PDF BibTeX XML Cite \textit{B. Armstrong} et al., J. Pure Appl. Algebra 226, No. 3, Article ID 106853, 33 p. (2022; Zbl 1490.16071) Full Text: DOI arXiv OpenURL
Limonchenko, Ivan; Millionshchikov, Dmitry Higher order Massey products and applications. (English) Zbl 1489.13033 Vershik, Anatoly M. (ed.) et al., Conference on topology, geometry, and dynamics. V. A. Rokhlin-100. The Euler International Mathematical Institute and Steklov Institute of Mathematics, St. Petersburg, Russia, August 19–23, 2019. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 772, 209-240 (2021). MSC: 13F55 55S30 52B11 55-02 13-02 PDF BibTeX XML Cite \textit{I. Limonchenko} and \textit{D. Millionshchikov}, Contemp. Math. 772, 209--240 (2021; Zbl 1489.13033) Full Text: DOI arXiv OpenURL
Zharinov, V. V. Navier-Stokes equations, the algebraic aspect. (English. Russian original) Zbl 1491.76020 Theor. Math. Phys. 209, No. 3, 1657-1672 (2021); translation from Teor. Mat. Fiz. 209, No. 3, 397-413 (2021). MSC: 76D05 76M99 PDF BibTeX XML Cite \textit{V. V. Zharinov}, Theor. Math. Phys. 209, No. 3, 1657--1672 (2021; Zbl 1491.76020); translation from Teor. Mat. Fiz. 209, No. 3, 397--413 (2021) Full Text: DOI arXiv OpenURL
Elliott, Chris; Williams, Brian R. Holomorphic Poisson field theories. (English) Zbl 1486.81148 High. Struct. 5, No. 1, 282-309 (2021). MSC: 81T10 81T50 17B65 18N70 17B63 83E50 70H05 83E15 PDF BibTeX XML Cite \textit{C. Elliott} and \textit{B. R. Williams}, High. Struct. 5, No. 1, 282--309 (2021; Zbl 1486.81148) Full Text: arXiv Link OpenURL
Lopes, Samuel A.; Solotar, Andrea Lie structure on the Hochschild cohomology of a family of subalgebras of the Weyl algebra. (English) Zbl 1494.16008 J. Noncommut. Geom. 15, No. 4, 1373-1407 (2021). MSC: 16E40 16W25 16S32 16S36 PDF BibTeX XML Cite \textit{S. A. Lopes} and \textit{A. Solotar}, J. Noncommut. Geom. 15, No. 4, 1373--1407 (2021; Zbl 1494.16008) Full Text: DOI arXiv OpenURL
Huebschmann, Johannes On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras. (English) Zbl 07453484 J. Geom. Mech. 13, No. 3, 385-402 (2021). MSC: 01A60 17B66 18G45 12G05 12H05 17-03 17B55 20J05 53-03 53D17 55Q15 58H05 PDF BibTeX XML Cite \textit{J. Huebschmann}, J. Geom. Mech. 13, No. 3, 385--402 (2021; Zbl 07453484) Full Text: DOI OpenURL
Lodder, Jerry M. Leibniz cohomology and connections on differentiable manifolds. (English) Zbl 1481.17003 Differ. Geom. Appl. 79, Article ID 101819, 15 p. (2021). Reviewer: Friedrich Wagemann (Nantes) MSC: 17A32 53B05 PDF BibTeX XML Cite \textit{J. M. Lodder}, Differ. Geom. Appl. 79, Article ID 101819, 15 p. (2021; Zbl 1481.17003) Full Text: DOI arXiv OpenURL
Nyland, Petter; Ortega, Eduard Matui’s AH conjecture for graph groupoids. (English) Zbl 07430672 Doc. Math. 26, 1679-1727 (2021). MSC: 19D55 22A22 05C63 37B05 46L05 PDF BibTeX XML Cite \textit{P. Nyland} and \textit{E. Ortega}, Doc. Math. 26, 1679--1727 (2021; Zbl 07430672) Full Text: DOI arXiv OpenURL
Ghallabi, Abderraouf Cohomology of Lie algebras on \(\mathbb{R}\) acting on trilinear differential operators. (English) Zbl 07424508 Rend. Circ. Mat. Palermo (2) 70, No. 3, 1733-1749 (2021). MSC: 17B66 17B56 53D55 PDF BibTeX XML Cite \textit{A. Ghallabi}, Rend. Circ. Mat. Palermo (2) 70, No. 3, 1733--1749 (2021; Zbl 07424508) Full Text: DOI OpenURL
Carnovale, Giovanna; Esposito, Francesco; Fiebig, Peter Localization of IC-complexes on Kashiwara’s flag scheme and representations of Kac-Moody algebras. (English) Zbl 1481.17033 Indag. Math., New Ser. 32, No. 6, 1275-1289 (2021). MSC: 17B67 14M15 PDF BibTeX XML Cite \textit{G. Carnovale} et al., Indag. Math., New Ser. 32, No. 6, 1275--1289 (2021; Zbl 1481.17033) Full Text: DOI arXiv OpenURL
Dinar, Yassir Ibrahim Algebraic classical \(W\)-algebras and Frobenius manifolds. (English) Zbl 1489.37084 Lett. Math. Phys. 111, No. 5, Paper No. 115, 42 p. (2021). MSC: 37K30 37K10 37K06 53D45 17B80 53D17 17B68 17B08 PDF BibTeX XML Cite \textit{Y. I. Dinar}, Lett. Math. Phys. 111, No. 5, Paper No. 115, 42 p. (2021; Zbl 1489.37084) Full Text: DOI arXiv OpenURL
Sillari, Lorenzo; Tomassini, Adriano Dolbeault and \(J\)-invariant cohomologies on almost complex manifolds. (English) Zbl 1484.32045 Complex Anal. Oper. Theory 15, No. 7, Paper No. 112, 28 p. (2021). Reviewer: Tobias Shin (Stony Brook) MSC: 32Q60 53C15 PDF BibTeX XML Cite \textit{L. Sillari} and \textit{A. Tomassini}, Complex Anal. Oper. Theory 15, No. 7, Paper No. 112, 28 p. (2021; Zbl 1484.32045) Full Text: DOI arXiv OpenURL
Drupieski, Christopher M.; Kujawa, Jonathan R. Support schemes for infinitesimal unipotent supergroups. (English) Zbl 1481.14071 Adv. Math. 384, Article ID 107754, 61 p. (2021). Reviewer: Alan Koch (Decatur) MSC: 14L15 20G10 16T05 17B56 PDF BibTeX XML Cite \textit{C. M. Drupieski} and \textit{J. R. Kujawa}, Adv. Math. 384, Article ID 107754, 61 p. (2021; Zbl 1481.14071) Full Text: DOI arXiv OpenURL
Sheng, Yunhe; Zhao, Jia; Zhou, Yanqiu Nijenhuis operators, product structures and complex structures on Lie-Yamaguti algebras. (English) Zbl 1482.17048 J. Algebra Appl. 20, No. 8, Article ID 2150146, 22 p. (2021). Reviewer: Alberto Elduque (Zaragoza) MSC: 17B56 17D99 PDF BibTeX XML Cite \textit{Y. Sheng} et al., J. Algebra Appl. 20, No. 8, Article ID 2150146, 22 p. (2021; Zbl 1482.17048) Full Text: DOI OpenURL
Chebochko, N. G. Deformations of Lie algebras of type \(D_n\) and their factoralgebras over the field of characteristic 2. (English. Russian original) Zbl 07411084 Russ. Math. 65, No. 8, 75-78 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 7, 86-90 (2021). MSC: 17B50 17B56 17B66 PDF BibTeX XML Cite \textit{N. G. Chebochko}, Russ. Math. 65, No. 8, 75--78 (2021; Zbl 07411084); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 7, 86--90 (2021) Full Text: DOI arXiv OpenURL
Bertola, Marco; Dubrovin, Boris; Yang, Di Simple Lie algebras, Drinfeld-Sokolov hierarchies, and multi-point correlation functions. (English) Zbl 1482.37066 Mosc. Math. J. 21, No. 2, 233-270 (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 37K25 37K20 37K30 17B80 14N35 PDF BibTeX XML Cite \textit{M. Bertola} et al., Mosc. Math. J. 21, No. 2, 233--270 (2021; Zbl 1482.37066) Full Text: arXiv Link OpenURL
Dai, Xuanzhong Chiral differential operators on the upper half plane and modular forms. (English) Zbl 1494.11042 Adv. Math. 390, Article ID 107957, 32 p. (2021). Reviewer: Matthew Krauel (Sacramento) MSC: 11F22 17B69 14F40 PDF BibTeX XML Cite \textit{X. Dai}, Adv. Math. 390, Article ID 107957, 32 p. (2021; Zbl 1494.11042) Full Text: DOI arXiv OpenURL
Campoamor-Stursberg, Rutwig On some structural properties of semidirect sums of \(\mathfrak{so}(3)\) and abelian Lie algebras. (English) Zbl 1482.17018 Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 22nd international conference on geometry, integrability and quantization, Varna, Bulgaria, June 8–13, 2020. Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 22, 88-106 (2021). Reviewer: Christopher P. Bendel (Menomonie) MSC: 17B05 17B56 17B99 PDF BibTeX XML Cite \textit{R. Campoamor-Stursberg}, Geom. Integrability Quantization 22, 88--106 (2021; Zbl 1482.17018) Full Text: DOI OpenURL
Xia, Wei Deformations of Dolbeault cohomology classes for Lie algebra with complex structures. (English) Zbl 1477.32017 Ann. Global Anal. Geom. 60, No. 3, 709-734 (2021). Reviewer: Quanting Zhao (Wuhan) MSC: 32G05 17B56 PDF BibTeX XML Cite \textit{W. Xia}, Ann. Global Anal. Geom. 60, No. 3, 709--734 (2021; Zbl 1477.32017) Full Text: DOI arXiv OpenURL
Nguiffo Boyom, Michel The last formula of Jean-Louis Koszul. (English) Zbl 1498.53014 Inf. Geom. 4, No. 1, 263-310 (2021). MSC: 53B12 01A70 22F50 53B05 62B11 PDF BibTeX XML Cite \textit{M. Nguiffo Boyom}, Inf. Geom. 4, No. 1, 263--310 (2021; Zbl 1498.53014) Full Text: DOI OpenURL
Hoseini, Nafise; Saeedi, Farshid Third cohomology group and \(\alpha \)-crossed extensions of Hom-Lie algebras. (English) Zbl 1471.17040 Adv. Appl. Clifford Algebr. 31, No. 3, Paper No. 44, 18 p. (2021). MSC: 17B56 17B61 PDF BibTeX XML Cite \textit{N. Hoseini} and \textit{F. Saeedi}, Adv. Appl. Clifford Algebr. 31, No. 3, Paper No. 44, 18 p. (2021; Zbl 1471.17040) Full Text: DOI OpenURL
Ibraev, Sherali Shapataevich; Turbayev, Boranbay Esmakhanbayevich Cohomology for the Lie algebra of type \(A_2\) over a field of characteristic 2. (English) Zbl 1480.17022 Sib. Èlektron. Mat. Izv. 18, No. 2, 729-739 (2021). Reviewer: Le Anh Vu (Ho Chi Minh City) MSC: 17B56 17B50 PDF BibTeX XML Cite \textit{S. S. Ibraev} and \textit{B. E. Turbayev}, Sib. Èlektron. Mat. Izv. 18, No. 2, 729--739 (2021; Zbl 1480.17022) Full Text: DOI OpenURL
Deaconu, Valentin On groupoids and \(C^*\)-algebras from self-similar actions. (English) Zbl 1479.46066 New York J. Math. 27, 923-942 (2021). Reviewer: Enrique Pardo Espino (Cádiz) MSC: 46L05 46L80 22A22 46L55 19D55 37A55 PDF BibTeX XML Cite \textit{V. Deaconu}, New York J. Math. 27, 923--942 (2021; Zbl 1479.46066) Full Text: arXiv Link OpenURL
Sheng, Yunhe; Tang, Rong; Zhu, Chenchang The controlling \(L_\infty \)-algebra, cohomology and homotopy of embedding tensors and Lie-Leibniz triples. (English) Zbl 1476.17015 Commun. Math. Phys. 386, No. 1, 269-304 (2021). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B56 17A32 PDF BibTeX XML Cite \textit{Y. Sheng} et al., Commun. Math. Phys. 386, No. 1, 269--304 (2021; Zbl 1476.17015) Full Text: DOI arXiv OpenURL
Xu, Maosen; Tan, Yan; Wu, Zhixiang Cohomology of Lie conformal algebra \(Vir\ltimes\mathrm{Cur}\mathfrak{g}\). (English) Zbl 1486.17034 Algebra Colloq. 28, No. 3, 507-520 (2021). Reviewer: Le Anh Vu (Ho Chi Minh City) MSC: 17B56 17B68 17B99 16S99 PDF BibTeX XML Cite \textit{M. Xu} et al., Algebra Colloq. 28, No. 3, 507--520 (2021; Zbl 1486.17034) Full Text: DOI OpenURL
Lopatkin, Viktor; Zusmanovich, Pasha Commutative Lie algebras and commutative cohomology in characteristic 2. (English) Zbl 1475.17030 Commun. Contemp. Math. 23, No. 5, Article ID 2050046, 20 p. (2021). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B50 17B56 17B99 PDF BibTeX XML Cite \textit{V. Lopatkin} and \textit{P. Zusmanovich}, Commun. Contemp. Math. 23, No. 5, Article ID 2050046, 20 p. (2021; Zbl 1475.17030) Full Text: DOI arXiv OpenURL
Abdurasulov, K. K.; Omirov, B. A.; Rakhimov, I. S.; Solijanova, G. O. Residually solvable extensions of an infinite dimensional filiform Leibniz algebra. (English) Zbl 1487.17004 J. Algebra 585, 697-722 (2021). Reviewer: José María Sánchez Delgado (Cádiz) MSC: 17A32 17B40 17B56 17B65 PDF BibTeX XML Cite \textit{K. K. Abdurasulov} et al., J. Algebra 585, 697--722 (2021; Zbl 1487.17004) Full Text: DOI arXiv OpenURL
Pandey, Mani Shankar; Upadhyay, Sumit Kumar Theory of extensions of multiplicative Lie algebras. (English) Zbl 1486.17033 J. Lie Theory 31, No. 3, 637-658 (2021). Reviewer: Le Anh Vu (Ho Chi Minh City) MSC: 17B56 19C09 18G50 PDF BibTeX XML Cite \textit{M. S. Pandey} and \textit{S. K. Upadhyay}, J. Lie Theory 31, No. 3, 637--658 (2021; Zbl 1486.17033) Full Text: arXiv Link OpenURL
Morozov, Oleg I. Isospectral deformation of the reduced quasi-classical self-dual Yang-Mills equation. (English) Zbl 1498.17038 Differ. Geom. Appl. 76, Article ID 101742, 14 p. (2021). MSC: 17B65 17B56 17B80 22E70 35Q40 58J70 PDF BibTeX XML Cite \textit{O. I. Morozov}, Differ. Geom. Appl. 76, Article ID 101742, 14 p. (2021; Zbl 1498.17038) Full Text: DOI arXiv OpenURL
Xu, Chengkang Deformed higher rank Heisenberg-Virasoro algebras. (English) Zbl 1484.17039 Int. J. Algebra Comput. 31, No. 3, 501-517 (2021). MSC: 17B68 17B40 17B56 PDF BibTeX XML Cite \textit{C. Xu}, Int. J. Algebra Comput. 31, No. 3, 501--517 (2021; Zbl 1484.17039) Full Text: DOI arXiv OpenURL
Adashev, J. Q.; Camacho, L. M.; Omirov, B. A. Solvable Leibniz algebras with naturally graded non-Lie \(p\)-filiform nilradicals whose maximal complemented space of its nilradical. (English) Zbl 1475.17003 Linear Multilinear Algebra 69, No. 8, 1500-1520 (2021). Reviewer: Hesam Safa (Bojnord) MSC: 17A32 17A36 17B30 17B56 PDF BibTeX XML Cite \textit{J. Q. Adashev} et al., Linear Multilinear Algebra 69, No. 8, 1500--1520 (2021; Zbl 1475.17003) Full Text: DOI arXiv OpenURL
Larsen, Michael J.; Lunts, Valery A. A note on Lie algebra cohomology. (English) Zbl 1469.17018 Algebra Number Theory 15, No. 3, 773-783 (2021). Reviewer: Christopher P. Bendel (Menomonie) MSC: 17B55 17B56 14L30 PDF BibTeX XML Cite \textit{M. J. Larsen} and \textit{V. A. Lunts}, Algebra Number Theory 15, No. 3, 773--783 (2021; Zbl 1469.17018) Full Text: DOI arXiv OpenURL
Fialowski, Alice; Iohara, Kenji On Lie algebras of generalized Jacobi matrices. (English) Zbl 1477.17078 Fialowski, Alice (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 123, 175-186 (2021). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 17B65 16E40 16S35 17B56 PDF BibTeX XML Cite \textit{A. Fialowski} and \textit{K. Iohara}, Banach Cent. Publ. 123, 175--186 (2021; Zbl 1477.17078) Full Text: DOI arXiv OpenURL
Ecker, Jill; Schlichenmaier, Martin The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra with values in natural modules. (English) Zbl 1475.17033 Fialowski, Alice (ed.) et al., Homotopy algebras, deformation theory and quantization. Selected papers based on the presentations at the conference, September 16 and 22, 2018, Poznań, Poland. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 123, 141-174 (2021). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B56 17B68 17B65 17B66 14D15 81R10 81T40 PDF BibTeX XML Cite \textit{J. Ecker} and \textit{M. Schlichenmaier}, Banach Cent. Publ. 123, 141--174 (2021; Zbl 1475.17033) Full Text: DOI Link OpenURL
Bao, Yan-Hong; Ye, Yu Cohomology structure for a Poisson algebra. II. (English) Zbl 1478.17022 Sci. China, Math. 64, No. 5, 903-920 (2021). MSC: 17B63 17B56 PDF BibTeX XML Cite \textit{Y.-H. Bao} and \textit{Y. Ye}, Sci. China, Math. 64, No. 5, 903--920 (2021; Zbl 1478.17022) Full Text: DOI arXiv OpenURL
Kaygorodov, Ivan; Zusmanovich, Pasha On anticommutative algebras for which \([R_a,R_b]\) is a derivation. (English) Zbl 1505.17004 J. Geom. Phys. 163, Article ID 104113, 10 p. (2021). Reviewer: Vesselin Drensky (Sofia) MSC: 17A30 17A36 17B40 17B55 PDF BibTeX XML Cite \textit{I. Kaygorodov} and \textit{P. Zusmanovich}, J. Geom. Phys. 163, Article ID 104113, 10 p. (2021; Zbl 1505.17004) Full Text: DOI arXiv OpenURL
Casas, J. M.; Khmaladze, E.; Pacheco Rego, N. On some properties preserved by the non-abelian tensor product of Hom-Lie algebras. (English) Zbl 1482.17050 Linear Multilinear Algebra 69, No. 4, 607-626 (2021). Reviewer: Yin Chen (Changchun) MSC: 17B61 17A30 17B55 17B56 PDF BibTeX XML Cite \textit{J. M. Casas} et al., Linear Multilinear Algebra 69, No. 4, 607--626 (2021; Zbl 1482.17050) Full Text: DOI arXiv OpenURL
Xu, Maosen; Tan, Yan; Wu, Zhixiang On the Lie pseudoalgebra \(W(\mathfrak{m},\pi,\mathfrak{g})\). (English) Zbl 1469.17031 J. Lie Theory 31, No. 1, 15-28 (2021). Reviewer: Christopher P. Bendel (Menomonie) MSC: 17B99 17B30 17B68 16S99 17B10 17B35 17B56 PDF BibTeX XML Cite \textit{M. Xu} et al., J. Lie Theory 31, No. 1, 15--28 (2021; Zbl 1469.17031) Full Text: Link OpenURL
Song, Bailin The global sections of chiral de Rham complexes on compact Ricci-flat Kähler manifolds. (English) Zbl 1460.81040 Commun. Math. Phys. 382, No. 1, 351-379 (2021). MSC: 81R15 46M20 55N30 32S35 14F40 14J33 17B69 14J32 58A12 17B81 PDF BibTeX XML Cite \textit{B. Song}, Commun. Math. Phys. 382, No. 1, 351--379 (2021; Zbl 1460.81040) Full Text: DOI arXiv OpenURL