scholarly journals The Sobolev embedding constant on Lie groups

2022 ◽  
Vol 216 ◽  
pp. 112707
Author(s):  
Tommaso Bruno ◽  
Marco M. Peloso ◽  
Maria Vallarino
Keyword(s):  
Lie Groups ◽  
Sobolev Embedding ◽  
Embedding Constant

scholarly journals Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains

2017 ◽  
Vol 2017 (1) ◽  
Author(s):  
Makoto Mizuguchi ◽  
Kazuaki Tanaka ◽  
Kouta Sekine ◽  
Shin’ichi Oishi
Keyword(s):  
Sobolev Embedding ◽  
Convex Domains ◽  
Embedding Constant ◽  
Bounded Convex

Lie Groups, Lie Algebras, Cohomology and some Applications in Physics

1995 ◽  
Author(s):  
Josi A. de Azcárraga ◽  
Josi M. Izquierdo
Keyword(s):  
Lie Groups ◽  
Lie Algebras

Cohomology of orbits of compact Lie groups

1983 ◽  
Vol 69 (1) ◽  
pp. 51-71
Author(s):  
Simone Gutt
Keyword(s):  
Lie Groups ◽  
Compact Lie Groups

scholarly journals Weak amenability of Lie groups made discrete

2018 ◽  
Vol 297 (1) ◽  
pp. 101-116
Author(s):  
Søren Knudby
Keyword(s):  
Lie Groups ◽  
Weak Amenability

scholarly journals Some groups with T1 primitive ideal spaces

1985 ◽  
Vol 38 (1) ◽  
pp. 55-64 ◽  
Author(s):  
A. L. Carey ◽  
W. Moran
Keyword(s):  
Normal Subgroup ◽  
Lie Groups ◽  
Lie Group ◽  
Locally Compact Group ◽  
Primitive Ideal ◽  
Ideal Space ◽  
Solvable Lie Groups ◽  
Locally Compact ◽  
Simply Connected ◽  
Connected Lie Group

AbstractLet G be a second countable locally compact group possessing a normal subgroup N with G/N abelian. We prove that if G/N is discrete then G has T1 primitive ideal space if and only if the G-quasiorbits in Prim N are closed. This condition on G-quasiorbits arose in Pukanzky's work on connected and simply connected solvable Lie groups where it is equivalent to the condition of Auslander and Moore that G be type R on N (-nilradical). Using an abstract version of Pukanzky's arguments due to Green and Pedersen we establish that if G is a connected and simply connected Lie group then Prim G is T1 whenever G-quasiorbits in [G, G] are closed.

Sign in / Sign up

Export Citation Format

Share Document