Temat: bounded group - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: On the structure of certain nontransitive diffeomorphism groups on open manifolds
Autorzy:: Kowalik, A.
Lech, J.
Michalik, I.
Powiązania:: https://bibliotekanauki.pl/articles/254822.pdf
Data publikacji:: 2012
Wydawca:: Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:: foliated manifold
bounded group
conjugation-invariant norm
group of diffeomorphisms
commutator
perfectness
uniform perfectness
Opis:: It is shown that in some generic cases the identity component of the group of leaf preserving diffeomorphisms (with not necessarily compact support) on a foliated open manifold is perfect. Next, it is proved that it is also bounded, i.e. bounded with respect to any bi-invariant metric. It follows that the group is uniformly perfect as well.
Źródło:: Opuscula Mathematica; 2012, 32, 3; 511-520
1232-9274
2300-6919
Pojawia się w:: Opuscula Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Spherical functions and uniformly bounded representations of free groups
Autorzy:: Pytlik, Tadeusz
Powiązania:: https://bibliotekanauki.pl/articles/1293458.pdf
Data publikacji:: 1991
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: free group
uniformly bounded representation
spherical functions
Opis:: We give a construction of an analytic series of uniformly bounded representations of a free group G, through the action of G on its Poisson boundary. These representations are irreducible and give as their coefficients all the spherical functions on G which tend to zero at infinity. The principal and the complementary series of unitary representations are included. We also prove that this construction and the other known constructions lead to equivalent representations.
Źródło:: Studia Mathematica; 1991, 100, 3; 237-250
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja