Séminaire lotharingien de combinatoire, Tome 53 (2005-2006)
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Dan Bernstein; Amitai Regev. A Foata Bijection for the Alternating Group and for q-Analogues. Séminaire lotharingien de combinatoire, Tome 53 (2005-2006). http://geodesic.mathdoc.fr/item/SLC_2005-2006_53_a1/
@article{SLC_2005-2006_53_a1,
author = {Dan Bernstein and Amitai Regev},
title = {A {Foata} {Bijection} for the {Alternating} {Group} and for {q-Analogues}},
journal = {S\'eminaire lotharingien de combinatoire},
year = {2005-2006},
volume = {53},
url = {http://geodesic.mathdoc.fr/item/SLC_2005-2006_53_a1/}
}
TY - JOUR
AU - Dan Bernstein
AU - Amitai Regev
TI - A Foata Bijection for the Alternating Group and for q-Analogues
JO - Séminaire lotharingien de combinatoire
PY - 2005-2006
VL - 53
UR - http://geodesic.mathdoc.fr/item/SLC_2005-2006_53_a1/
ID - SLC_2005-2006_53_a1
ER -
%0 Journal Article
%A Dan Bernstein
%A Amitai Regev
%T A Foata Bijection for the Alternating Group and for q-Analogues
%J Séminaire lotharingien de combinatoire
%D 2005-2006
%V 53
%U http://geodesic.mathdoc.fr/item/SLC_2005-2006_53_a1/
%F SLC_2005-2006_53_a1
The Foata bijection \Phi:Sn->Sn is extended to the bijections \Psi:An+1->An+1 and \Psiq:Sn+q-1->Sn+q-1, where Sm, Am are the symmetric and the alternating groups. These bijections imply bijective proofs for recent equidistribution theorems, by Regev and Roichman, for An+1 and for Sn+q-1.
