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Finite-dimensional Lie subalgebras of algebras with continuous inversion

Daniel Beltiţă, Karl-Hermann Neeb (2008)

Studia Mathematica

We investigate the finite-dimensional Lie groups whose points are separated by the continuous homomorphisms into groups of invertible elements of locally convex algebras with continuous inversion that satisfy an appropriate completeness condition. We find that these are precisely the linear Lie groups, that is, the Lie groups which can be faithfully represented as matrix groups. Our method relies on proving that certain finite-dimensional Lie subalgebras of algebras with continuous inversion commute...

Finitely generated fuchsian groups.

N.Th. Varopoulos (1987)

Journal für die reine und angewandte Mathematik

Finiteness of Ergodic Unitarily Invariant Measures on Spaces of Infinite Matrices

Alexander I. Bufetov (2014)

Annales de l’institut Fourier

The main result of this note, Theorem 1.3, is the following: a Borel measure on the space of infinite Hermitian matrices, that is invariant and ergodic under the action of the infinite unitary group and that admits well-defined projections onto the quotient space of “corners" of finite size, must be finite. A similar result, Theorem 1.1, is also established for unitarily invariant measures on the space of all infinite complex matrices. These results imply that the infinite Hua-Pickrell measures...

Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups

Armand Borel, Gopal Prasad (1989)

Publications Mathématiques de l'IHÉS

Finitude géométrique en géométrie de Hilbert

Mickaël Crampon, Ludovic marquis (2014)

Annales de l’institut Fourier

On étudie la notion de finitude géométrique pour certaines géométries de Hilbert définies par un ouvert strictement convexe à bord de classe $𝒞^{1}$ .La définition dans le cadre des espaces Gromov-hyperboliques fait intervenir l’action du groupe discret considéré sur le bord de l’espace. On montre, en construisant explicitement un contre-exemple, que cette définition doit être renforcée pour obtenir des définitions équivalentes en termes de la géométrie de l’orbifold quotient, similaires à celles obtenues...

First-order differential invariants of the splitting subgroups of the Poincaré group $P (1, 4)$ .

Fedorchuk, V.M., Fedorchuk, V.I. (2006)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Five-dimensional biquotients.

Pavlov, A.V. (2004)

Sibirskij Matematicheskij Zhurnal

Fixelemente von Automorphismen nulldimensionaler abelscher Gruppen.

Peter Plaumann (1972)

Mathematische Zeitschrift

Fixpunkt- und Struktursätze für affine, algebraische Gruppenschemata in Charakteristik p.

Hans-Martin Meyer, Ulrich Oberst (1977)

Mathematische Annalen

Flexibility of surface groups in classical simple Lie groups

Inkang Kim, Pierre Pansu (2015)

Journal of the European Mathematical Society

We show that a surface group of high genus contained in a classical simple Lie group can be deformed to become Zariski dense, unless the Lie group is $S U (p, q)$ (resp. $S O^{*} (2 n)$ , $n$ odd) and the surface group is maximal in some $S (U (p, p) \times U (q - p)) \subset S U (p, q)$ (resp. $S O^{*} (2 n - 2) \times S O (2) \subset S O^{*} (2 n)$ ). This is a converse, for classical groups, to a rigidity result of S. Bradlow, O. García-Prada and P. Gothen.

Flows on Invariant Subsets and Compactifications of a Locally Compact Group

A. Lau, P. Milnes, J. Pym (1998)

Colloquium Mathematicae

Flows with Periodic Factors on Homogenous Spaces.

S.G. Dani (1987)

Monatshefte für Mathematik

Foliations, groupoids and Baum-Connes conjecture.

Macho-Stadler, M. (2000)

Zapiski Nauchnykh Seminarov POMI

Foliations induced by congruences.

K.H. Hofmann, W.A.F. Ruppert (1989)

Semigroup forum

Foliations, locally Lie groupoids and holonomy

Ronald Brown, Osman Mucuk (1996)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

Folner's Condition for Exponentially Bounded Groups.

J.W. Jenkins (1974)

Mathematica Scandinavica

Fonctions harmoniques positives sur certains groupes de Lie résolubles connexes

Albert Raugi (1996)

Bulletin de la Société Mathématique de France

Fonctions indéfiniment différentiables invariantes sur l'espace tangent d'un espace symétrique

Nouri Kamoun (1998)

Annales de la Faculté des sciences de Toulouse : Mathématiques

Foreword

Bureš, J., Souček, V. (1991)

Proceedings of the Winter School "Geometry and Physics"

Formal deformations and principal series representations of $SL (2, ℝ)$ and $SL (2, ℂ)$

Benjamin Cahen (2020)

Czechoslovak Mathematical Journal

In this note, we study formal deformations of derived representations of the principal series representations of $SL (2, ℝ)$ . In particular, we recover all the representations of the derived principal series by deforming one of them. Similar results are also obtained for $SL (2, ℂ)$ .

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