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
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
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.
Twisted vertex representations of quantum affine algebras.
Two applications of elementary knot theory to Lie algebras and Vassiliev invariants.
Two classical results in the quantum mixed case.
Two remarks on Lie rings of matrices over commutative associative rings
Let be an associative commutative ring with 1. If , then denotes the principal ideal generated by . Let be nonzero elements of such that . The set of matrices , where , , , forms a Lie ring under Lie multiplication and matrix addition. The paper studies properties of these Lie rings.
Two results on a class of Poisson structures on Lie groups.
Two supergeometries from fourfold gradings of superalgebras