Abelian extensions of Lie bialgebras. (Extensions abéliennes des bigèbres de Lie.)
Abelian ideals of a Borel subalgebra and root systems
Let be a simple Lie algebra and the poset of non-trivial abelian ideals of a fixed Borel subalgebra of . In [8], we constructed a partition parameterised by the long positive roots of and studied the subposets . In this note, we show that this partition is compatible with intersections, relate it to the Kostant-Peterson parameterisation and to the centralisers of abelian ideals. We also prove that the poset of positive roots of is a join-semilattice.
Abelian Varieties, l-adic Representations and Lie Algebras.
About a family of naturally graded no p-filiform Lie algebras.
The knowledge of the natural graded algebras of a given class of Lie algebras offers essential information about the structure of the class. So far, the classification of naturally graded Lie algebras is only known for some families of p-filiform Lie algebras. In certain sense, if g is a naturally graded Lie algebra of dimension n, the first case of no p-filiform Lie algebras it happens when the characteristic sequence is (n-3,2,1). We present the classification of a particular family of these algebras...
About relationship between generalized structurable algebras and Lie related triples.
Absolute-valued algebras with an involution
Actions of Complex Lie Groups on Analytic ...-Algebras.
Addendum to "Generalized radical rings, unknotted biquandles, and quantum groups" (Colloq. Math. 109 (2007), 85-100)
Adjoint groups and the Mal'cev correspondence (a tale of four functors)
Adjoint vector fields on the tangent space of semisimple symmetric spaces.
Affine braid group actions on derived categories of Springer resolutions
In this paper we construct and study an action of the affine braid group associated with a semi-simple algebraic group on derived categories of coherent sheaves on various varieties related to the Springer resolution of the nilpotent cone. In particular, we describe explicitly the action of the Artin braid group. This action is a “categorical version” of Kazhdan-Lusztig-Ginzburg’s construction of the affine Hecke algebra, and is used in particular by the first author and I. Mirković in the course...
Affine endomorphism near-rings
Affine Gelfand-Dickey Brackets and Holomorphic Vector Bundles.
Affine Hecke algebras and orthogonal polynomials
Affine Lie algebras and modular forms
Affine quivers and canonical bases
Affine Root Systems and Dedekind's ?-Function.
Affine varieties and Lie algebras of vector fields.
Algebraic aspects of web geometry
Algebraic aspects of web geometry, namely its connections with the quasigroup and loop theory, the theory of local differential quasigroups and loops, and the theory of local algebras are discussed.
Algebraic calculation of the energy eigenvalues for the nondegenerate three-dimensional Kepler-Coulomb potential.