Page 1 Next

Displaying 1 – 20 of 183

Showing per page

Calculus of flows on convenient manifolds

Andrzej Zajtz (1996)

Archivum Mathematicum

The study of diffeomorphism group actions requires methods of infinite dimensional analysis. Really convenient tools can be found in the Frölicher - Kriegl - Michor differentiation theory and its geometrical aspects. In terms of it we develop the calculus of various types of one parameter diffeomorphism groups in infinite dimensional spaces with smooth structure. Some spectral properties of the derivative of exponential mapping for manifolds are given.

Canonical subgroups of H 1 S L 2 , R

Filippo De Mari, Krzysztof Nowak (2002)

Bollettino dell'Unione Matematica Italiana

We classify, up to conjugation, all subgroups of the semidirect products H 1 S L 2 , R and R 2 S L 2 , R . Our methods can also be applied to all Lie groups that are locally isomorphic to them.

Caractères semi-simples de G 2 ( F ) , F corps local non archimédien

Laure Blasco, Corinne Blondel (2012)

Annales scientifiques de l'École Normale Supérieure

Soit F un corps local non archimédien de caractéristique résiduelle différente de 2 et 3 . Nous définissons strates semi-simples et caractères semi-simples pour le groupe exceptionnel G 2 ( F ) à l’aide des objets analogues pour le groupe SO ( 8 , F ) , des automorphismes de trialité et d’une correspondance de Glauberman. Nous construisons alors les types semi-simples associés et nous donnons des conditions suffisantes pour que ces types s’induisent irréductiblement, obtenant ainsi des représentations supercuspidales...

Cayley orders

Arjeh M. Cohen, Gabriele Nebe, Wilhelm Plesken (1996)

Compositio Mathematica

Central extensions of infinite-dimensional Lie groups

Karl-Hermann Neeb (2002)

Annales de l’institut Fourier

The main result of the present paper is an exact sequence which describes the group of central extensions of a connected infinite-dimensional Lie group G by an abelian group Z whose identity component is a quotient of a vector space by a discrete subgroup. A major point of this result is that it is not restricted to smoothly paracompact groups and hence applies in particular to all Banach- and Fréchet-Lie groups. The exact sequence encodes in particular precise obstructions for a given Lie algebra...

Currently displaying 1 – 20 of 183

Page 1 Next