On the support of the free Lie algebra: the Schutzenberger problems by Ioannis C. Michos

Subjects: “…free lie algebras…”
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Hom-structures on semi-simple Lie algebras by Xie Wenjuan, Jin Quanqin, Liu Wende

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Extensions of realisations for low-dimensional Lie algebras by Iryna Yehorchenko

“…We find extensions of realisations of some low-dimensional Lie algebras, in particular, for the Poincaré algebra for one space dimension. …”
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The Square-Zero Basis of Matrix Lie Algebras by Raúl Durán Díaz, Víctor Gayoso Martínez, Luis Hernández Encinas, Jaime Muñoz Masqué

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Finely homogeneous computations in free Lie algebras by Philippe Andary

“…We can find an interesting application of this algorithm in control theory, where one wants to compute within the command Lie algebra of a dynamical system (letters are actually vector fields).…”
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Lifshitz symmetry: Lie algebras, spacetimes and particles by José Figueroa-O'Farrill, Ross Grassie, Stefan Prohazka

“…As a first step we classify Lie algebras of this type in arbitrary dimension. Among them is the prototypical Lifshitz algebra, which motivates this work and the name "Lifshitz Lie algebras". …”
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On Solvable Lie Algebras of White Noise Operators by Wolfgang Bock, Janeth Canama, Gaudencio Petalcorin

Subjects: “…infinite dimensional Lie algebra…”
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On a Lie Algebraic Characterization of Vector Bundles by Pierre B.A. Lecomte, Thomas Leuther, Elie Zihindula Mushengezi

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����/����-graded Lie algebras and perverse sheaves, IV by Lusztig, George, Yun, Zhiwei

“…Let G be a reductive group over C. Assume that the Lie algebra g of G has a given grading (gj ) indexed by a cyclic group Z/m such that g0 contains a Cartan subalgebra of g. …”
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SEMISIMPLE CYCLIC ELEMENTS IN SEMISIMPLE LIE ALGEBRAS by ELASHVILI, AG, JIBLADZE, M, KAC, VG

“…This paper is a continuation of the theory of cyclic elements in semisimple Lie algebras, developed by Elashvili, Kac and Vinberg. …”
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Intrinsic nilpotent approximation to filtered lie algebras

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On complete reducibility for infinite-dimensional Lie algebras by Gorelik, Maria, Kac, Victor

“…In this paper we study the complete reducibility of representations of infinite- dimensional Lie algebras from the perspective of representation theory of vertex algebras.…”
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Symplectic reflection algebras and affine lie algebras by Etingof, Pavel I.

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IDENTITIES FOR LIE-ALGEBRAS OF PRO-P GROUPS by Wilson, J, Zelmanov, E

Formal moduli problems and partition lie algebras by Brantner, L

“…If <em>k</em> is a field of characteristic zero, a theorem of Lurie–Pridham asserts an equivalence between formal moduli problems and d.g. Lie algebras over <em>k</em>. We generalise this equivalence to arbitrary fields by using “partition Lie algebras”. …”

PD operads and explicit partition lie algebras by Brantner, L, Campos, R, Nuiten, J

“…<p>Infinitesimal deformations are governed by partition Lie algebras. In characteristic 0, these higher categorical structures are modelled by differential graded Lie algebras, but in characteristic p, they are more subtle.…”

Representations of semisimple lie algebras in the BGG category O / by 364558 Humphreys, James E.

Subjects: “…Representations of Lie algebras…”

On the q-deformation of certain infinite dimensional lie algebras / by 334111 El Kinani, E. H., Zakkari, M.

Subjects: “…Lie algebras…”

Fuzzy Hom–Lie Ideals of Hom–Lie Algebras by Shadi Shaqaqha

Subjects: “…Hom–Lie algebras…”
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Generalisation of affine Lie algebras on compact real manifolds by Rutwig Campoamor-Stursberg, Marc de Montigny, Michel Rausch de Traubenberg

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