Towards the Jantzen conjecture. III
Towards the Kazhdan-Lusztig conjecture
Trace and determinant in Jordan-Banach algebras.
Using an appropriate definition of the multiplicity of a spectral value, we introduce a new definition of the trace and determinant of elements with finite spectrum in Jordan-Banach algebras. We first extend a result obtained by J. Zemánek in the associative case, on the connectedness of projections which are close to each other spectrally (Theorem 2.3). Secondly we show that the rank of the Riesz projection associated to a finite-rank element a and a finite subset of its spectrum is equal to the...
Trace and Spectrum Preserving Linear Mappings in Jordan-Banach Algebras.
Traces dans les catégories monoïdales, dualité et catégories monoïdales fibrées
Transformation de Mellin et algèbres de Kac-Moody
Transformation de Mellin, et algèbres de Mellin-Lie
Transformations groups of the Andersson-Perlman cone.
Transgression and Clifford algebras
Let be a differential (not necessarily commutative) algebra which carries a free action of a polynomial algebra with homogeneous generators . We show that for acyclic, the cohomology of the quotient
Transitive Hall sets.
Travaux de Shiga sur la cohomologie des algèbres de Lie sur une variété
Tree algebras: An algebraic axiomatization of intertwining vertex operators
We describe a completely algebraic axiom system for intertwining operators of vertex algebra modules, using algebraic flat connections, thus formulating the concept of a tree algebra. Using the Riemann-Hilbert correspondence, we further prove that a vertex tensor category in the sense of Huang and Lepowsky gives rise to a tree algebra over . We also show that the chiral WZW model of a simply connected simple compact Lie group gives rise to a tree algebra over .
Trees, free right-symmetric algebras, free Novikov algebras and identities.
Triangular Lie bialgebras and matched pairs for Lie algebras of real vector fields on .
Triple automorphisms of simple Lie algebras
An invertible linear map on a Lie algebra is called a triple automorphism of it if for . Let be a finite-dimensional simple Lie algebra of rank defined over an algebraically closed field of characteristic zero, an arbitrary parabolic subalgebra of . It is shown in this paper that an invertible linear map on is a triple automorphism if and only if either itself is an automorphism of or it is the composition of an automorphism of and an extremal map of order .
Triple Cohomology of Lie Algebras
Triple derivations on von Neumann algebras
It is well known that every derivation of a von Neumann algebra into itself is an inner derivation and that every derivation of a von Neumann algebra into its predual is inner. It is less well known that every triple derivation (defined below) of a von Neumann algebra into itself is an inner triple derivation. We examine to what extent all triple derivations of a von Neumann algebra into its predual are inner. This rarely happens but it comes close. We prove a (triple) cohomological...
Troisième théorème fondamental de réalisation de Cartan
De même qu’avec les groupes de Lie, à tout pseudo-groupe infinitésimal de Lie sur il est associé de façon naturelle une algèbre de Lie , qui est une sous-algèbre de Lie fermée de l’algèbre de Lie de tous les champs de vecteurs formels de , l’algèbre étant munie de la topologie définie par la filtration naturelle de l’algèbre des séries formelles. Le troisième théorème fondamental de Cartan dit qu’inversement étant donnée une sous-algèbre de Lie transitive fermée de l’algèbre , il existe...
Twisted Hopf Algebras.
Twisted quantum doubles.