Extended affine root systems of type .
Extended lie algebraic stability analysis for switched systems with continuous-time and discrete-time subsystems
We analyze stability for switched systems which are composed of both continuous-time and discrete-time subsystems. By considering a Lie algebra generated by all subsystem matrices, we show that if all subsystems are Hurwitz/Schur stable and this Lie algebra is solvable, then there is a common quadratic Lyapunov function for all subsystems and thus the switched system is exponentially stable under arbitrary switching. When not all subsystems are stable and the same Lie algebra is solvable, we show...
Extension d'un Théorème de Harte et Applications aux Algèbres de Jordan-Banach.
Extension functors of modular Lie algebras.
Extension of the Poincaré symmetry and its field theoretical implementation.
Extension Theorems for Reductive Group Actions on Compact Kaehler Manifolds.
Extensiones centrales de las álgebras de Leibniz.
Extensions Between Generalized Verma Modules: The Hermitian Symmetric Cases.
Extensions centrales d'algèbres de Lie
Soient un anneau commutatif et une -algèbre associative quelconque. Nous calculons le groupe d’homologie de la -algèbre de Lie des matrices de “trace nulle” sur . Le groupe ainsi déterminé est un groupe d’homologie d’un complexe inspiré d’A. Connes; il est isomorphe à lorsque est commutative. Nous obtenons également des résultats pour un groupe d’homologie relative associé à une surjection de -algèbres. Les démonstrations utilisent la classification des extensions centrales et des...
Extensions essentielles d'algèbres de Lie classiques de dimensions infinies
Extensions of hom-Lie algebras in terms of cohomology
We study (non-abelian) extensions of a given hom-Lie algebra and provide a geometrical interpretation of extensions, in particular, we characterize an extension of a hom-Lie algebra by another hom-Lie algebra and discuss the case where has no center. We also deal with the setting of covariant exterior derivatives, Chevalley derivative, Maurer-Cartan formula, curvature and the Bianchi identity for the possible extensions in differential geometry. Moreover, we find a cohomological obstruction...
Extensions of super Lie algebras.
Extensions of symplectic groupoids and quantization.
Extremal projectors in the semi-classical case
Using extremal projectors, Zhelobenko solved extremal equations in a generic Verma module of a complex semi-simple Lie algebra. We will solve similar equations in the semi-classical case. Our proof will be geometric. In the appendix, we give a factorization for the extremal projector of the Virasoro algebra in the semi-classical case.
Factorisations des monoïdes libres, bascules, et algèbres de Lie libres
Factorizing multilinear operators on Banach spaces, C*-algebras and JB*-triples
In recent papers, the Right and the Strong* topologies have been introduced and studied on general Banach spaces. We characterize different types of continuity for multilinear operators (joint, uniform, etc.) with respect to the above topologies. We also study the relations between them. Finally, in the last section, we relate the joint Strong*-to-norm continuity of a multilinear operator T defined on C*-algebras (respectively, JB*-triples) to C*-summability (respectively, JB*-triple-summability)....
Fair-sized projective modules
Family algebras.
Fermionic Novikov algebras admitting invariant non-degenerate symmetric bilinear forms
Novikov algebras were introduced in connection with the Poisson brackets of hydrodynamic type and Hamiltonian operators in the formal variational calculus. Fermionic Novikov algebras correspond to a certain Hamiltonian superoperator in a supervariable. In this paper, we show that fermionic Novikov algebras equipped with invariant non-degenerate symmetric bilinear forms are Novikov algebras.
Filtrations and tilting modules