Rate-Invariant Modeling in Lie Algebra for Activity Recognition by Malek Boujebli, Hassen Drira, Makram Mestiri, Imed Riadh Farah

“…The classification is performed based on a rate-invariant comparison of the resulting trajectories mapped to a vector space, the Lie algebra. Experimental results on three action and activity datasets show that the proposed method outperforms various state-of-the-art human activity recognition approaches.…”
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On Free Pseudo-Product Fundamental Graded Lie Algebras by Tomoaki Yatsui

Subjects: “…fundamental graded Lie algebra…”
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Nilpotent Lie algebras of derivations with the center of small corank by Y.Y. Chapovskyi, L.Z. Mashchenko, A.P. Petravchuk

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Deformations of the three-dimensional Lie algebra sl(2) by A.A. Ibrayeva, Sh.Sh. Ibraev, B.E. Turbayev

Subjects: “…Lie algebra…”
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Annihilator varieties of distinguished modules of reductive Lie algebras by Dmitry Gourevitch, Eitan Sayag, Ido Karshon

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Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras by Luigi Accardi, Andreas Boukas

Subjects: “…infinite dimensional Lie algebra…”
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Irreducible representations of simple Lie algebras by differential operators by A. Morozov, M. Reva, N. Tselousov, Y. Zenkevich

“…Abstract We describe a systematic method to construct arbitrary highest-weight modules, including arbitrary finite-dimensional representations, for any finite dimensional simple Lie algebra $${\mathfrak {g}}$$ g . The Lie algebra generators are represented as first order differential operators in $$\frac{1}{2} \left( \dim {\mathfrak {g}} - \text {rank} \, {\mathfrak {g}}\right) $$ 1 2 dim g - rank g variables. …”
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An algorithm for analysis of the structure of finitely presented Lie algebras by Vladimir P. Gerdt, Vladimir V. Kornyak

“…We consider the following problem: what is the most general Lie algebra satisfying a given set of Lie polynomial equations? …”
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On free Lie algebras and particles in electro-magnetic fields by Joaquim Gomis, Axel Kleinschmidt

“…We point out a relation of this construction to free Lie algebras that gives a unified description of all possible kinematic extensions, leading to a symmetry algebra that we call Maxwell∞. …”
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An elementary approach to the model structure on DG-Lie algebras by Emma Lepri

Subjects: “…dg-lie algebras…”
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On Brane Solutions with Intersection Rules Related to Lie Algebras by Vladimir D. Ivashchuk

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Twisted Rota-Baxter operators on Hom-Lie algebras by Senrong Xu, Wei Wang, Jia Zhao

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Exponential Formulas and Lie Algebra Type Star Products by Dragutin Svrtan, Zoran Škoda, Stjepan Meljanac, Stjepan Meljanac, Zoran Škoda, Dragutin Svrtan

“…We elaborate an example for a Lie algebra $su(2)$, related to a quantum gravity application from the literature.…”
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On Cohomology of Simple Modules for Modular Classical Lie Algebras by Sherali S. Ibraev, Larissa S. Kainbaeva, Saulesh K. Menlikozhaeva

Subjects: “…Lie algebra…”
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String Functions for Affine Lie Algebras Integrable Modules by Petr Kulish, Vladimir Lyakhovsky

Subjects: “…affine Lie algebras…”
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Polynomial representations of classical Lie algebras and flag varieties by A. Morozov, M. Reva, N. Tselousov, Y. Zenkevich

“…Recently we have started a program to describe the action of Lie algebras associated with Dynkin-type diagrams on generic Verma modules in terms of polynomial vector fields. …”
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An algorithm for analysis of the structure of finitely presented Lie algebras by Vladimir P. Gerdt, Vladimir V. Kornyak

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Lie algebra expansions and actions for non-relativistic gravity by Eric Bergshoeff, José Manuel Izquierdo, Tomás Ortín, Luca Romano

“…Abstract We show that the general method of Lie algebra expansions can be applied to re-construct several algebras and related actions for non-relativistic gravity that have occurred in the recent literature. …”
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NOTE ON VERMA BASES FOR REPRESENTATIONS OF SIMPLE LIE ALGEBRAS by Severin Pošta, Miloslav Havlíček

“…We discuss the construction of the Verma basis of the enveloping algebra and of finite dimensional representations of the Lie algebra An. We give an alternate proof of so-called Verma inequalities to the one given in [1] by P. …”
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Complex structures on the complexification of a real Lie algebra by Yamada Takumi

“…Let g = a+b be a Lie algebra with a direct sum decomposition such that a and b are Lie subalgebras. …”
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