An algebraic description of (untwisted) D-branes on compact group manifolds G using quantum algebras related to Uq( g) is discussed. It reproduces the known characteristics of stable branes in the WZW models. A toy model of NCG based on a quiver diagram for branes on orbifold is also presented.
PACS numbers: 11.25.Hf, 11.25.Mj, 02.40.Gh, 02.20.Uw
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