Extension of the Poincaré symmetry and its field theoretical implementation.
Extension of Wang-Gong monotonicity result in semisimple Lie groups
We extend a monotonicity result of Wang and Gong on the product of positive definite matrices in the context of semisimple Lie groups. A similar result on singular values is also obtained.
Extension properties of WS-groups.
Extensions Between Generalized Verma Modules: The Hermitian Symmetric Cases.
Extensions de Lie et groupes d'automorphismes de corps locaux
Extensions de plusieurs représentations des groupes produits semi-directs
Extensions de représentations induites des produits semi-directs.
Extensions des représentations des groupes de Lie construites par M. Duflo.
Extensions of generic measure-preserving actions
We show that, whenever is a countable abelian group and is a finitely-generated subgroup of , a generic measure-preserving action of on a standard atomless probability space extends to a free measure-preserving action of on . This extends a result of Ageev, corresponding to the case when is infinite cyclic.
Extensions of Pontryagin Duality.
Extensions of representations of analytic solvable groups.
Extensions of Three Matrix Inequalities to Semisimple Lie Groups
We give extensions of inequalities of Araki-Lieb-Thirring, Audenaert, and Simon, in the context of semisimple Lie groups.
Extensions of topological and semitopological groups and the product operation
The main results concern commutativity of Hewitt-Nachbin realcompactification or Dieudonné completion with products of topological groups. It is shown that for every topological group that is not Dieudonné complete one can find a Dieudonné complete group such that the Dieudonné completion of is not a topological group containing as a subgroup. Using Korovin’s construction of -dense orbits, we present some examples showing that some results on topological groups are not valid for semitopological...
Extremal phenomena in certain classes of totally bounded groups [Book]
Extremal pseudocompact Abelian groups: A unified treatment
The authors have shown [Proc. Amer. Math. Soc. 135 (2007), 4039--4044] that every nonmetrizable, pseudocompact abelian group has both a proper dense pseudocompact subgroup and a strictly finer pseudocompact group topology. Here they give a comprehensive, direct and self-contained proof of this result.
Extreme non-Arens regularity of quotients of the Fourier algebra A(G)
Facteurs locaux pour
Factor representations of diffeomorphism groups
We give a new construction of semifinite factor representations of the diffeomorphism group of euclidean space. These representations are in canonical correspondence with the finite factor representations of the inductive limit unitary group. Hence, many of these representations are given in terms of quasi-free representations of the canonical commutation and anti-commutation relations. To establish this correspondence requires a generalization of complete positivity as developed in operator algebras....
Factorisations des monoïdes libres, bascules, et algèbres de Lie libres
Factors, Roots and Embeddability of Measures on Lie Groups.