On the loop inequality for euclidean buildings

Jacek Świątkowski

Annales de l'institut Fourier (1997)

  • Volume: 47, Issue: 4, page 1175-1194
  • ISSN: 0373-0956

Abstract

top
We give an estimate for the number of closed loops of given length in the 1-skeleton of a thick euclidean building. This kind of estimate can be used to prove the (RD) property for the subspace of radial functions on A ˜ n groups, as shown in the paper by A. Valette [same issue].

How to cite

top

Świątkowski, Jacek. "On the loop inequality for euclidean buildings." Annales de l'institut Fourier 47.4 (1997): 1175-1194. <http://eudml.org/doc/75258>.

@article{Świątkowski1997,
abstract = {We give an estimate for the number of closed loops of given length in the 1-skeleton of a thick euclidean building. This kind of estimate can be used to prove the (RD) property for the subspace of radial functions on $\widetilde\{A\}_n$ groups, as shown in the paper by A. Valette [same issue].},
author = {Świątkowski, Jacek},
journal = {Annales de l'institut Fourier},
keywords = {euclidean building},
language = {eng},
number = {4},
pages = {1175-1194},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the loop inequality for euclidean buildings},
url = {http://eudml.org/doc/75258},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Świątkowski, Jacek
TI - On the loop inequality for euclidean buildings
JO - Annales de l'institut Fourier
PY - 1997
PB - Association des Annales de l'Institut Fourier
VL - 47
IS - 4
SP - 1175
EP - 1194
AB - We give an estimate for the number of closed loops of given length in the 1-skeleton of a thick euclidean building. This kind of estimate can be used to prove the (RD) property for the subspace of radial functions on $\widetilde{A}_n$ groups, as shown in the paper by A. Valette [same issue].
LA - eng
KW - euclidean building
UR - http://eudml.org/doc/75258
ER -

References

top
  1. [Bo] N. BOURBAKI, Groupes et algèbres de Lie, Chapitres 4-6, Masson, Paris, 1981. Zbl0483.22001
  2. [Br] K. BROWN, Buildings, Springer-Verlag, New York, 1989. Zbl0715.20017MR90e:20001
  3. [CS] D. CARTWRIGHT, T. STEGER, A family of Ãn groups, Preprint. Zbl0923.51010
  4. [T] J. TITS, Buildings of spherical type and finite BN-pairs, Lecture Notes in Math. 386, Springer-Verlag, 1974. Zbl0295.20047MR57 #9866
  5. [V] A. VALETTE, On the Haagerup inequality and groups acting on Ãn-buildings, Ann. Inst. Fourier, Grenoble, 47-4 (1997), 1195-1208. Zbl0886.51003MR99f:43001

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.