Title




Trees of semisimple algebras
 
Author




 
Abstract




To a tree of semisimple algebras we associate a qurve (or formally smooth algebra) S. We introduce a Zariski and etale quiver describing the finite dimensional representations of S. In particular, we show that all quotient varieties of the etale quiver have a natural Poisson structure induced by a double Poisson algebra structure on a certain universal localization of its path algebra. Explicit calculations are included for the group algebras of the arithmetic groups (P)SL2(Z) and GL2(Z) but the methods apply as well to congruence subgroups. 
 
Language




English
 
Source (journal)




eprintarchive math.RA
 
Publication




2005
 
Volume/pages




(2005)
, p. 0507503,10507503,26
 
