Citations (53)
Keep up to date with the latest research on this topic with citation updates for this article.
Read on this site (10)
Alex Cameron, Vincent E. Coll Jr.Nicholas Mayers & Nicholas Russoniello. (2023) The breadth of Lie poset algebras. Linear and Multilinear Algebra 71:16, pages 2565-2584.
Read now
Read now
Vu A. Le, Tuan A. Nguyen, Tu T. C. Nguyen, Tuyen T. M. Nguyen & Thieu N. Vo. (2023) Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals. Communications in Algebra 51:5, pages 1866-1885.
Read now
Read now
Vu A. Le, Hai T. T. Cao, Hoa Q. Duong, Tuan A. Nguyen & Thieu N. Vo. (2022) On the problem of classifying solvable Lie algebras having small codimensional derived algebras. Communications in Algebra 50:9, pages 3775-3793.
Read now
Read now
J. Q. Adashev, L. M. Camacho & B. A. Omirov. (2021) Solvable Leibniz algebras with naturally graded non-Lie p-filiform nilradicals whose maximal complemented space of its nilradical. Linear and Multilinear Algebra 69:8, pages 1500-1520.
Read now
Read now
Andrew Douglas & Joe Repka. (2018) Subalgebras of the rank two semisimple Lie algebras. Linear and Multilinear Algebra 66:10, pages 2049-2075.
Read now
Read now
Andrew Douglas & Joe Repka. (2016) The Subalgebras of . Communications in Algebra 44:12, pages 5269-5286.
Read now
Read now
A.L. Agore & G. Militaru. (2015) Itô’s theorem and metabelian Leibniz algebras. Linear and Multilinear Algebra 63:11, pages 2187-2199.
Read now
Read now
Grant Cairns, Ana Hinić Galić, Yuri Nikolayevsky & Ioannis Tsartsaflis. (2015) Geodesic bases for Lie algebras. Linear and Multilinear Algebra 63:6, pages 1176-1194.
Read now
Read now
Luis
Alberto Wills-Toro. (2014) Classification of Some Graded not Necessarily Associative Division Algebras I. Communications in Algebra 42:12, pages 5019-5049.
Read now
Read now
Yan Wang, Jie Lin & Shaoqiang Deng. (2008) Solvable Lie Algebras with Quasifiliform Nilradicals. Communications in Algebra 36:11, pages 4052-4067.
Read now
Read now
Articles from other publishers (43)
Alina Dobrogowska & Grzegorz Jakimowicz. (2023) A new look at Lie algebras. Journal of Geometry and Physics 192, pages 104959.
Crossref
Crossref
José L. Vilca Rodríguez, Csaba Schneider & Hamid Usefi. (2022) The isomorphism problem for universal enveloping algebras of solvable Lie algebras. Journal of Algebra 603, pages 281-306.
Crossref
Crossref
Hossein Kheiri, Azam Etemad & Farhad Rahmati. (2021) A Lie Algebra Approach Towards Classification of Complex Vector Bundles of Finite Rank on a Smooth Complex Manifold. Bulletin of the Iranian Mathematical Society 48:4, pages 1611-1617.
Crossref
Crossref
Zlatko Erjavec & Jun-ichi Inoguchi. (2022) J-Trajectories in 4-Dimensional Solvable Lie Group $$\mathrm {Sol}_0^4$$. Mathematical Physics, Analysis and Geometry 25:1.
Crossref
Crossref
María S. Bruzón, Rafael de la Rosa, María L. Gandarias & Rita Tracinà. (2022) Applications of Solvable Lie Algebras to a Class of Third Order Equations. Mathematics 10:2, pages 254.
Crossref
Crossref
Alina Dobrogowska & Karolina Wojciechowicz. (2021) Linear Bundle of Lie Algebras Applied to the Classification of Real Lie Algebras. Symmetry 13:8, pages 1455.
Crossref
Crossref
Juan Miguel Nieto García, Alessandro Torrielli & Leander Wyss. (2021)
Boosts superalgebras based on centrally-extended
. Journal of Geometry and Physics 164, pages 104172.
Crossref
Crossref
Manjit Singh & Rajesh Kumar Gupta. (2021) A note on optimal systems of certain low-dimensional Lie algebras. International Journal of Nonlinear Sciences and Numerical Simulation 22:2, pages 135-144.
Crossref
Crossref
Fatemeh Azari Key & Rongwei Yang. (2021) Spectral invariants for finite dimensional Lie algebras. Linear Algebra and its Applications 611, pages 148-170.
Crossref
Crossref
Francisco Martín Cabrera. (2020) The exterior derivative of the Lee form of almost Hermitian manifolds. Journal of Geometry and Physics 148, pages 103563.
Crossref
Crossref
Amir Babak Aazami & Gideon Maschler. (2020) Kähler metrics via Lorentzian Geometry in dimension four. Complex Manifolds 7:1, pages 36-61.
Crossref
Crossref
Nicolas Bryenton, Cameron Davies, Andrew Douglas, Saminul Haque, Kieran Hauser, Thaddeus Janisse, Matthew Koster, Jessica (Chengjin) Liu, Thomas Ma, Yuveshen Mooroogen, Arthur Rabinovich, Joe Repka, Saied Sorkhou & Matt Wu. (2018) A comparison of two classifications of solvable Lie algebras. Journal of Mathematical Physics 59:12.
Crossref
Crossref
R. K. Gupta & Manjit Singh. (2017) On Group Classification and Nonlocal Conservation Laws for a Multiphase Flow Model. International Journal of Applied and Computational Mathematics 3:4, pages 3925-3935.
Crossref
Crossref
Michael Björklund & Tobias Hartnick. (2017) Quasi-state rigidity for finite-dimensional Lie algebras. Israel Journal of Mathematics 221:1, pages 25-57.
Crossref
Crossref
Andrew Douglas & Joe Repka. (2017) The subalgebras of the rank two symplectic Lie algebra. Linear Algebra and its Applications 527, pages 303-348.
Crossref
Crossref
O.J. Falcón, R.M. Falcón, J. Núñez, A.M. Pacheco & M.T. Villar. (2017) Computation of isotopisms of algebras over finite fields by means of graph invariants. Journal of Computational and Applied Mathematics 318, pages 307-315.
Crossref
Crossref
A.L. Agore & G. Militaru. (2017) Hochschild products and global non-abelian cohomology for algebras. Applications. Journal of Pure and Applied Algebra 221:2, pages 366-392.
Crossref
Crossref
Óscar J. Falcón, Raúl M. Falcón & Juan Núñez. (2016) A computational algebraic geometry approach to enumerate Malcev magma algebras over finite fields. Mathematical Methods in the Applied Sciences 39:16, pages 4901-4913.
Crossref
Crossref
A. L. Agore & G. Militaru. (2015) Extending structures, Galois groups and supersolvable associative algebras. Monatshefte für Mathematik 181:1, pages 1-33.
Crossref
Crossref
Andrew Douglas & Joe Repka. (2016) The subalgebras of A 2. Journal of Pure and Applied Algebra 220:6, pages 2389-2413.
Crossref
Crossref
F. Saeedi & S. Sheikh-Mohseni. (2015) On semicomplete Lie algebras. Rendiconti del Circolo Matematico di Palermo (1952 -) 65:1, pages 111-122.
Crossref
Crossref
Andrew Douglas & Joe Repka. (2015)
Levi decomposable subalgebras of the symplectic algebra
C
2
. Journal of Mathematical Physics 56:5.
Crossref
Crossref
Teresa Arias-Marco & Old?ich Kowalski. (2015) Classification of 4-dimensional homogeneous weakly einstein manifolds. Czechoslovak Mathematical Journal 65:1, pages 21-59.
Crossref
Crossref
Dengyin Wang. (2014) Invertible linear maps on Borel subalgebras preserving zero Lie products. Journal of Algebra 406, pages 321-336.
Crossref
Crossref
Luis Boza, Eugenio Manuel Fedriani, Juan Núñez, Ana María Pacheco & María Trinidad Villar. (2014) Directed pseudo-graphs and lie algebras over finite fields. Czechoslovak Mathematical Journal 64:1, pages 229-239.
Crossref
Crossref
Sergei Sverchkov. (2014) Commutator algebras arising from splicing operations. Open Mathematics 12:11.
Crossref
Crossref
Joakim Arnlind, Abdennour Kitouni, Abdenacer Makhlouf & Sergei Silvestrov. 2014. Algebra, Geometry and Mathematical Physics. Algebra, Geometry and Mathematical Physics
123
144
.
Dietrich Burde & Willem de Graaf. (2012) Classification of Novikov algebras. Applicable Algebra in Engineering, Communication and Computing 24:1, pages 1-15.
Crossref
Crossref
Nakelgbamba Boukary Pilabr?Akry Koulibaly. (2011) Lie-admissible duplicate of an algebra. Afrika Matematika 23:2, pages 195-203.
Crossref
Crossref
Dengyin Wang, Hui Ge & Xiaowei Li. (2012) Solvable extensions of a class of nilpotent linear Lie algebras. Linear Algebra and its Applications 437:1, pages 14-25.
Crossref
Crossref
J.M. Casas, M.A. Insua, M. Ladra & S. Ladra. (2012) An algorithm for the classification of 3-dimensional complex Leibniz algebras. Linear Algebra and its Applications 436:9, pages 3747-3756.
Crossref
Crossref
Juan N??ez & ?ngel F. Tenorio. (2010) A computational study of a family of nilpotent Lie algebras. The Journal of Supercomputing 59:1, pages 147-155.
Crossref
Crossref
Ruipu Bai, Guojie Song & Yaozhong Zhang. (2011) On classification of n-Lie algebras. Frontiers of Mathematics in China 6:4, pages 581-606.
Crossref
Crossref
Jon Gonz?lez-S?nchez & Alejandro P. Nicolas. (2011) Uniform groups and Lie algebras. Journal of Algebra 334:1, pages 54-73.
Crossref
Crossref
M. S. Chebarykov. (2011) On the Ricci curvature of nonunimodular solvable metric Lie algebras of small dimension. Siberian Advances in Mathematics 21:2, pages 81-99.
Crossref
Crossref
Diego Conti & Anna Fino. (2010) Calabi-Yau cones from contact reduction. Annals of Global Analysis and Geometry 38:1, pages 93-118.
Crossref
Crossref
A. G. Kremlev & Yu. G. Nikonorov. (2009) The signature of the Ricci curvature of left-invariant Riemannian metrics on four-dimensional lie groups. The unimodular case. Siberian Advances in Mathematics 19:4, pages 245-267.
Crossref
Crossref
José Manuel Casas, Manuel A. Insua, Manuel Ladra & Susana Ladra. 2009. Computer Aided Systems Theory - EUROCAST 2009. Computer Aided Systems Theory - EUROCAST 2009
177
186
.
Jo?l Merker. (2008) Lie symmetries and CR geometry. Journal of Mathematical Sciences 154:6, pages 817-922.
Crossref
Crossref
A.N. Gorban & O. Radulescu. 2008. Advances in Chemical Engineering - Mathematics in Chemical Kinetics and Engineering. Advances in Chemical Engineering - Mathematics in Chemical Kinetics and Engineering
103
173
.
Willem A. de Graaf. (2007) Classification of 6-dimensional nilpotent Lie algebras over fields of characteristic not 2. Journal of Algebra 309:2, pages 640-653.
Crossref
Crossref
Vyacheslav Boyko, Jiri Patera & Roman Popovych. (2006) Computation of invariants of Lie algebras by means of moving frames. Journal of Physics A: Mathematical and General 39:20, pages 5749-5762.
Crossref
Crossref
Maryna O. Nesterenko. (2006) Transformation groups on real plane and their differential invariants. International Journal of Mathematics and Mathematical Sciences 2006, pages 1-17.
Crossref
Crossref