Publication
Title
Trees of semi-simple algebras
Author
Abstract
To a tree of semi-simple 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)
eprint-archive math.RA
Publication
2005
Volume/pages
(2005), p. 0507503,1-0507503,26
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
E-info
Record
Identification
Creation 16.04.2010
Last edited 04.09.2013
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