Lie theory for semigroups.
Lie-Algebren mit Idealisatorbedingung
Lie-Algebren mit SI-Bedingungen.
Lie-Rinehart algebras, Gerstenhaber algebras and Batalin-Vilkovisky algebras
For any Lie-Rinehart algebra , B(atalin)-V(ilkovisky) algebra structures on the exterior -algebra correspond bijectively to right -module structures on ; likewise, generators for the Gerstenhaber algebra correspond bijectively to right -connections on . When is projective as an -module, given a B-V algebra structure on , the homology of the B-V algebra coincides with the homology of with coefficients in with reference to the right -module structure determined by . When...
Limits of Gaudin systems: classical and quantum cases.
Linear equations in nilpotent Lie rings. (Equations linéaires dans les anneaux nilpotents au sens de Lie.)
Linear free divisors and the global logarithmic comparison theorem
A complex hypersurface in is a linear free divisor (LFD) if its module of logarithmic vector fields has a global basis of linear vector fields. We classify all LFDs for at most .By analogy with Grothendieck’s comparison theorem, we say that the global logarithmic comparison theorem (GLCT) holds for if the complex of global logarithmic differential forms computes the complex cohomology of . We develop a general criterion for the GLCT for LFDs and prove that it is fulfilled whenever the...
Linear maps Lie derivable at zero on 𝒥-subspace lattice algebras
A linear map L on an algebra is said to be Lie derivable at zero if L([A,B]) = [L(A),B] + [A,L(B)] whenever [A,B] = 0. It is shown that, for a 𝒥-subspace lattice ℒ on a Banach space X satisfying dim K ≠ 2 whenever K ∈ 𝒥(ℒ), every linear map on ℱ(ℒ) (the subalgebra of all finite rank operators in the JSL algebra Alg ℒ) Lie derivable at zero is of the standard form A ↦ δ (A) + ϕ(A), where δ is a generalized derivation and ϕ is a center-valued linear map. A characterization of linear maps Lie derivable...
L'injectivité de l'application de Dixmier pour les algèbres de Lie résolubles.
Littelmann's refined Demazure character formula revisited.
Local geometry of orbits for an ordinary classical lie supergroup
In this paper we identify a real reductive dual pair of Roger Howe with an Ordinary Classical Lie supergroup. In these terms we describe the semisimple orbits of the dual pair in the symplectic space, a slice through a semisimple element of the symplectic space, an analog of a Cartan subalgebra, the corresponding Weyl group and the corresponding Weyl integration formula.
Local superderivations on Lie superalgebra
Let be a simple strange Lie superalgebra over the complex field . In a paper by A. Ayupov, K. Kudaybergenov (2016), the authors studied the local derivations on semi-simple Lie algebras over and showed the difference between the properties of local derivations on semi-simple and nilpotent Lie algebras. We know that Lie superalgebras are a generalization of Lie algebras and the properties of some Lie superalgebras are similar to those of semi-simple Lie algebras, but is an exception. In this...
Localization of cliques and model theory. (Localisation des cliques et théorie des modèles.)
Locally coalescent classes of Lie algebras
Lorentzian Cones in Real Lie Algebras.
Losik cohomology of the Lie algebra of infinitesimal automorphisms of a -structure
Losik cohomology of the Lie algebra of infinitesimal automorphisms of a -structure. II
Low-dimensional filiform Lie superalgebras.
The aim of this paper is to give a classification up to isomorphism of low dimension filiform Lie superalgebras.
Lusztig conjectures, old and new, I.