The centre of the graph and moduli algebras at roots of 1
Citation:
S. A. Frolov, The centre of the graph and moduli algebras at roots of 1, Communications in Mathematical Physics, 200, 3, 1999, 599-619Download Item:
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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.
Author's Homepage:
http://people.tcd.ie/frolovsDescription:
PUBLISHED
Author: FROLOV, SERGEY
Publisher:
Springer VerlagType of material:
Journal ArticleSeries/Report no:
Communications in Mathematical Physics;200;
3;
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Full text availableKeywords:
Mathematics, Poisson graph algebraLicences: