| dc.contributor.author | FROLOV, SERGEY | |
| dc.date.accessioned | 2011-01-17T18:39:35Z | |
| dc.date.available | 2011-01-17T18:39:35Z | |
| dc.date.issued | 1999 | |
| dc.date.submitted | 1999 | en |
| dc.identifier.citation | S. A. Frolov, The centre of the graph and moduli algebras at roots of 1, Communications in Mathematical Physics, 200, 3, 1999, 599-619 | en |
| dc.identifier.other | Y | |
| dc.description | PUBLISHED | en |
| dc.description.abstract | The structure of the centres Z(Lg) and Z(Mg) of the graph algebra Lg(sl2)
and the moduli algebraMg(sl2) is studied at roots of 1. It it shown that Z(Lg) can be
endowed with the structure of the Poisson graph algebra. The elements of Spec(Z(Mg))
are shown to satisfy the defining relation for the holonomies of a flat connection along
the cycles of a Riemann surface. The irreducible representations of the graph algebra
are constructed. | en |
| dc.description.sponsorship | The author would like to thank G.Arutyunov, P.Schupp and
A.A.Slavnov for discussions. He is grateful to Professor J.Wess for kind hospitality and
the Alexander von Humboldt Foundation for the support. This work has been supported
in part by the Russian Basic Research Fund under grant number 94-01-00300a. | en |
| dc.format.extent | 599-619 | en |
| dc.language.iso | en | en |
| dc.publisher | Springer Verlag | en |
| dc.relation.ispartofseries | Communications in Mathematical Physics; | |
| dc.relation.ispartofseries | 200; | |
| dc.relation.ispartofseries | 3; | |
| dc.rights | Y | en |
| dc.subject | Mathematics | en |
| dc.subject | Poisson graph algebra | en |
| dc.title | The centre of the graph and moduli algebras at roots of 1 | en |
| dc.type | Journal Article | en |
| dc.type.supercollection | scholarly_publications | en |
| dc.type.supercollection | refereed_publications | en |
| dc.identifier.peoplefinderurl | http://people.tcd.ie/frolovs | |
| dc.identifier.rssinternalid | 70257 | |
| dc.identifier.rssuri | http://dx.doi.org/10.1007/s002200050542 | en |
| dc.identifier.uri | http://hdl.handle.net/2262/49336 | |
