Found 81 Documents (Results 1–81)
On the classification of sub-Riemannian structures on a 5D two-step nilpotent Lie group. (English) Zbl 07900689
Ten-dimensional Levi decomposition Lie algebras with \(\mathfrak{sl}(2, \mathbb{R})\) semi-simple factor. (English) Zbl 07831659
Decomposition of enveloping algebras of simple Lie algebras and their related polynomial algebras. (English) Zbl 1542.16023
Reviewer: Ernest L. Stitzinger (Raleigh)
Left-invariant distributions diffeomorphic to flat distributions. (English) Zbl 1542.22015
Reviewer: Stefan Groote (Tartu)
Bounds for the dimension of the Schur multiplier of finite dimensional nilpotent Lie algebras. (English) Zbl 1533.17012
Reviewer: Francesco G. Russo (Rondebosch)
Seven-dimensional real and complex unsolvable Lie algebras. (Russian. English summary) Zbl 07896837
Reviewer: Do Ngoc Diep (Hà Nội)
MSC:
22E60
Classification of solvable Lie algebras whose non-trivial coadjoint orbits of simply connected Lie groups are all of codimension 2. (English) Zbl 1526.17021
A new look at Lie algebras. (English) Zbl 1522.17037
On 7-dimensional algebras of holomorphic vector fields in \(\mathbb{C}^4 \), having a 5-dimensional abelian ideal. (Russian. English summary) Zbl 1522.32082
The Lie algebra of the lowest transitively differential group of degree three. (English) Zbl 1536.17035
MSC:
17B66
The center of the universal enveloping algebras of small-dimensional nilpotent Lie algebras in prime characteristic. (English) Zbl 07702903
Reviewer: Victor Petrogradsky (Brasília)
The center and invariants of standard filiform Lie algebras. (English) Zbl 1515.17028
Reviewer: Ernest L. Stitzinger (Raleigh)
Classification of 7-dimensional solvable Lie algebras having 5-dimensional nilradicals. (English) Zbl 1519.17017
Reviewer: Ernest L. Stitzinger (Raleigh)
New classes of quadratically integrable systems in magnetic fields: the generalized cylindrical and spherical cases. (English) Zbl 1521.81106
Classification of solvable Lie groups whose non-trivial coadjoint orbits are of codimension 1. (English) Zbl 1525.17006
Reviewer: Do Ngoc Diep (Hà Nội)
On maximal extensions of nilpotent Lie algebras. (English. Russian original) Zbl 1529.17022
Funct. Anal. Appl. 56, No. 4, 257-263 (2022); translation from Funkts. Anal. Prilozh. 56, No 4, 25-34 (2022).
MSC:
17B30
Exploring the landscape of (anti-) de Sitter and Minkowski solutions: group manifolds, stability and scale separation. (English) Zbl 1522.83363
J. High Energy Phys. 2022, No. 8, Paper No. 109, 43 p. (2022); erratum ibid. 2022, No. 9, Paper No. 184, 2 p. (2022).
Construction of polynomial algebras from intermediate Casimir invariants of Lie algebras. (English) Zbl 1529.17018
Reviewer: Rutwig Campoamor Stursberg (Madrid)
Orbits of decomposable 7-dimensional Lie algebras with \(\mathfrak{sl}(2)\) subalgebra. (Russian. English summary) Zbl 1513.17021
Hermitian structures on a class of almost nilpotent solvmanifolds. (English) Zbl 1506.53036
Reviewer: V. V. Gorbatsevich (Moskva)
On the problem of classifying solvable Lie algebras having small codimensional derived algebras. (English) Zbl 1518.17018
Reviewer: Jonas Deré (Leuven)
Algorithmic construction of solvable rigid Lie algebras determined by generating functions. (English) Zbl 1514.17012
Quadratic algebras as commutants of algebraic Hamiltonians in the enveloping algebra of Schrödinger algebras. (English) Zbl 1487.17024
Second-order delay ordinary differential equations, their symmetries and application to a traffic problem. (English) Zbl 1519.34074
Lie symmetries of the canonical connection: codimension one abelian nilradical case. (English) Zbl 1497.22006
Erratum to: “Ten-dimensional Lie algebras with \(\mathfrak{so} (3)\) semi-simple factor”. (English) Zbl 1484.17006
Transitive Lie algebras of nilpotent vector fields and their Tanaka prolongations. (English) Zbl 1490.17016
Reviewer: Boris Doubrov (Minsk)
Derivative non-linear Schrödinger equation: singular manifold method and Lie symmetries. (English) Zbl 1508.35138
Degenerations of 8-dimensional 2-step nilpotent Lie algebras. (English) Zbl 1504.17016
Reviewer: Pasha Zusmanovich (Ostrava)
On the Killing form on Lie algebras. (English. Russian original) Zbl 1511.17016
Russ. Math. 65, No. 4, 44-60 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2021, No. 4, 48-68 (2021).
MSC:
17B05
Residually solvable extensions of an infinite dimensional filiform Leibniz algebra. (English) Zbl 1487.17004
Reviewer: José María Sánchez Delgado (Cádiz)
Six-dimensional Lie-Einstein metrics. (English) Zbl 1490.22007
Reviewer: Gabriela Paola Ovando (Rosario)
Ten-dimensional Lie algebras with \(\mathfrak{so}(3)\) semi-simple factor. (English) Zbl 1467.17002
J. Lie Theory 31, No. 1, 093-118 (2021); erratum ibid. 31, No. 4, 1025-1030 (2021).
Reviewer: Ernest L. Stitzinger (Raleigh)
Holomorphically homogeneous real hypersurfaces in \(\mathbb{C}^3\). (English. Russian original) Zbl 1464.32059
Trans. Mosc. Math. Soc. 2020, 169-228 (2020); translation from Tr. Mosk. Mat. O.-va 81, No. 2, 205-280 (2020).
Spacetime groups. (English) Zbl 1455.83002
\(r\)-harmonic and complex isoparametric functions on the Lie groups \(\mathbb{R}^m\ltimes\mathbb{R}^n\) and \(\mathbb{R}^m\times\text{H}^{2n+1}\). (English) Zbl 1453.31013
Reviewer: Marius Ghergu (Dublin)
Some cohomologically rigid solvable Leibniz algebras. (English) Zbl 1450.17002
Reviewer: V. V. Gorbatsevich (Moskva)
Solvable Lie algebras of vector fields and a Lie’s conjecture. (English) Zbl 1490.17015
Reviewer: V. V. Gorbatsevich (Moskva)
Applying matrix theory to classify real solvable Lie algebras having 2-dimensional derived ideals. (English) Zbl 1489.17013
Reviewer: Ernest L. Stitzinger (Raleigh)
Canonical Kähler metrics on classes of Lorentzian 4-manifolds. (English) Zbl 1443.53041
Reviewer: Marcos Origlia (Kortrijk)
On some deformations of the Poisson structure associated with the algebroid bracket of differential forms. (English) Zbl 1446.53065
Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 13-23 (2019).
Some features of rank one real solvable cohomologically rigid Lie algebras with a nilradical contracting onto the model filiform Lie algebra \(Q_n\). (English) Zbl 1432.17019
Spectral problem for a two-component nonlinear Schrödinger equation in \(2 + 1\) dimensions: singular manifold method and Lie point symmetries. (English) Zbl 1428.35476
The variety of two-dimensional algebras over an algebraically closed field. (English) Zbl 1440.17027
A Lie symmetry analysis and explicit solutions of the two-dimensional \(\infty\)-polylaplacian. (English) Zbl 1420.35401
On the presence of families of pseudo-bosons in nilpotent Lie algebras of arbitrary corank. (English) Zbl 1482.17027
Invariant solutions of the wave equation on static spherically symmetric spacetimes admitting \(G_7\) isometry algebra. (English) Zbl 1425.35117
Linear or linearizable first-order delay ordinary differential equations and their Lie point symmetries. (English) Zbl 1402.34070
Reviewer: Zhanyuan Hou (London)
Lie group classification of first-order delay ordinary differential equations. (English) Zbl 1397.34106
Reviewer: Mircea Crâşmăreanu (Iaşi)
Reduction by invariants and projection of linear representations of Lie algebras applied to the construction of nonlinear realizations. (English) Zbl 1506.34051
\((1+1)\) Newton-Hooke group for the simple and damped harmonic oscillator. (English) Zbl 1390.70051
A differential operator realisation approach for constructing Casimir operators of non-semisimple Lie algebras. (English) Zbl 1412.17005
Isometries of Riemannian and sub-Riemannian structures on three-dimensional Lie groups. (English) Zbl 1395.53034
Reviewer: Meng-Kiat Chuah (Hsinchu)
Geometric features of Vessiot-Guldberg Lie algebras of conformal and Killing vector fields on \(\mathbb{R}^2\). (English) Zbl 1390.17033
Fialowski, Alice (ed.) et al., 50th Seminar “Sophus Lie”, Będlewo, Poland, September 26 – October 1, 2016. Dedicated to Professor Karl Heinrich Hofmann on the occasion of his 85th birthday. Warsaw: Polish Academy of Sciences, Institute of Mathematics (ISBN 978-83-86806-37-9/pbk). Banach Center Publications 113, 243-262 (2017).
Control systems on nilpotent Lie groups of dimension \(\leq 4\): equivalence and classification. (English) Zbl 1373.22015
Reviewer: Dumitru Motreanu (Juiz de Fora)
The moduli space of complex 5-dimensional Lie algebras. (English) Zbl 1339.14012
Reviewer: Arvid Siqveland (Kongsberg)
Cohomologically rigid solvable Lie algebras with a nilradical of arbitrary characteristic sequence. (English) Zbl 1328.17014
Symmetry reductions, exact solutions, and conservation laws of the generalized Zakharov equations. (English) Zbl 1329.35028
Classification of solvable real rigid Lie algebras with a nilradical of dimension \(n \leq 6\). (English) Zbl 1352.17011
Structure of symmetry of PDE: exploiting partially integrated systems. (English) Zbl 1346.68293
Watt, Stephen M. (ed.) et al., Proceedings of the 2014 symposium on symbolic-numeric computation, SNC 2014, Shanghai, China, July 28–31, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2963-7). 61-69 (2014).
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