LIE ALGEBRA REPRESENTATIONS AND RIGGED HILBERT SPACES: THE SO(2) CASE by Enrico Celeghini, Manuel Gadella, Mariano A del Olmo

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Locally conformally Kähler structures on four-dimensional solvable Lie algebras by Angella Daniele, Origlia Marcos

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Particle dynamics and Lie-algebraic type of non-commutativity of space–time by Partha Nandi, Sayan Kumar Pal, Ravikant Verma

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Deformations of Yang-Baxter operators via n-Lie algebra cohomology by Mohamed Elhamdadi, Emanuele Zappala

“…We show that when the Lie algebra has trivial cohomology (e.g. for semi-simple Lie algebras) the simultaneous deformations might still be nontrivial, producing corresponding Yang-Baxter operator deformations. …”
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A complete classification of four-dimensional paraKähler Lie algebras by Calvaruso Giovanni

Subjects: “…Lie algebras…”
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Quantization and irreducible representations of infinite-dimensional transformation groups and Lie algebras by Paul R. Chernoff

Subjects: “…Infinite dimensional Lie algebras…”
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Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras by Nülifer Özdemir, Mehmet Solgun, Şirin Aktay

Subjects: “…5-dimensional nilpotent Lie algebra…”
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Lie algebraic discussion for affinity based information diffusion in social networks by Shang Yilun

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On generalized Melvin solution for the Lie algebra $$E_6$$ E6 by S. V. Bolokhov, V. D. Ivashchuk

“…Abstract A multidimensional generalization of Melvin’s solution for an arbitrary simple Lie algebra $${\mathcal {G}}$$ G is considered. The gravitational model in D dimensions, $$D \ge 4$$ D≥4 , contains n 2-forms and $$l \ge n$$ l≥n scalar fields, where n is the rank of $${\mathcal {G}}$$ G . …”
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Realization of locally extended affine Lie algebras of type $A_1$ by Gholamreza Behboodi

Subjects: “…Extended affine Lie algebras…”
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Fine Gradings of Low-Rank Complex Lie Algebras and of Their Real Forms by Milena Svobodová

Subjects: “…Lie algebra…”
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On the Dimension of a New Class of Derivation Lie Algebras Associated to Singularities by Naveed Hussain, Stephen S.-T. Yau, Huaiqing Zuo

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On the existence of orthogonal decompositions of the simple Lie algebra of type C3 by A.Torstensson

“…One such case is Lie algebras of type Cn where n is not a power of 2. …”
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Lie algebras whose Lie groups have negative sectional curvature by Gil Salgado

Subjects: “…Lie algebras…”
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Locally Homogeneous Manifolds Defined by Lie Algebra of Infinitesimal Affine Transformations by Vladimir A. Popov

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Dynamics of Complex Mechanical Systems Based on Lie Groups and Lie algebra by Shao Bing, Yuan Entao

“…Adjoint transformations and adjoint operators of Lie groups and Lie algebra are discussed in this paper to study the recursive dynamics of complex systems. …”
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Three-dimensional higher-order Schrödinger algebras and Lie algebra expansions by Oguzhan Kasikci, Nese Ozdemir, Mehmet Ozkan, Utku Zorba

“…Abstract We provide a Lie algebra expansion procedure to construct three-dimensional higher-order Schrödinger algebras which relies on a particular subalgebra of the four-dimensional relativistic conformal algebra. …”
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Extraction Algorithm of HOM–LIE Algebras Based on Solvable and Nilpotent Groups by Shadi Shaqaqha, Nadeen Kdaisat

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Almost Kaehlerian and Hermitian Structures on Four Dimensional Indecomposable Lie Algebras by Mehmet Solgun

“…It is known that from a given almost Hermitian structure on a simply connected Liegroup, one can obtain left-invariant almost Hermitian structure on its Lie algebra.In this work, we consider Mubarakzyanov’s classification of four-dimensional realLie algebras and evaluate the existence of almost Hermitian structures on four dimensional decomposable real Lie algebras. …”
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Generating of Nonisospectral Integrable Hierarchies via the Lie-Algebraic Recursion Scheme by Haifeng Wang, Yufeng Zhang

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