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61
On the support of the free Lie algebra: the Schutzenberger problems
Published 2010-01-01Subjects: “…free lie algebras…”
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62
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63
Extensions of realisations for low-dimensional Lie algebras
Published 2023-11-01“…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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64
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Finely homogeneous computations in free Lie algebras
Published 1997-12-01“…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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66
Lifshitz symmetry: Lie algebras, spacetimes and particles
Published 2023-03-01“…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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67
On Solvable Lie Algebras of White Noise Operators
Published 2022-11-01Subjects: “…infinite dimensional Lie algebra…”
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68
On a Lie Algebraic Characterization of Vector Bundles
Published 2012-01-01Subjects: Get full text
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69
����/����-graded Lie algebras and perverse sheaves, IV
Published 2021“…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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70
SEMISIMPLE CYCLIC ELEMENTS IN SEMISIMPLE LIE ALGEBRAS
Published 2021“…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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On complete reducibility for infinite-dimensional Lie algebras
Published 2011“…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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73
Symplectic reflection algebras and affine lie algebras
Published 2013Get full text
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Formal moduli problems and partition lie algebras
Published 2019“…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”. …”
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PD operads and explicit partition lie algebras
Published 2024“…<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.…”
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77
Profinite just infinite residually solvable Lie algebras
Published 2023-12-01Subjects: “…just-infinite lie algebras…”
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78
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On the huge lie superalgebra of pseudo superdifferential operators and super KP-hierarchies /
Published 1995Subjects: “…Lie algebras…”
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On the q-deformation of certain infinite dimensional lie algebras /
Published 1995Subjects: “…Lie algebras…”